Maths-

General

Easy

Question

Express the rational expression in its lowest terms .
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction$

hint Hint:

Simplify means to make it simple. In mathematics, simplify is the reduction of an expression/fraction into irreducible forms.
We are asked to reduce the expression into the simplest form.

The correct answer is: x - 3 / (2x - 5)

Step 1 of 1:
Simplify the expression and cancel out the common factors;
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction equals fraction numerator x squared minus 3 x plus x minus 3 over denominator 2 x squared minus 5 x plus 2 x minus 5 end fraction$
$equals fraction numerator x left parenthesis x minus 3 right parenthesis plus 1 left parenthesis x minus 3 right parenthesis over denominator x left parenthesis 2 x minus 5 right parenthesis plus 1 left parenthesis 2 x minus 5 right parenthesis end fraction$
$equals fraction numerator left parenthesis x plus 1 right parenthesis left parenthesis x minus 3 right parenthesis over denominator left parenthesis x plus 1 right parenthesis left parenthesis 2 x minus 5 right parenthesis end fraction$
$equals fraction numerator x minus 3 over denominator left parenthesis 2 x minus 5 right parenthesis end fraction$

A rational expression is a fractional form containing polynomials on the denominator and the numerator.

When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

Maths-General

General

Maths-

Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$

Maths-General

General

Maths-

Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.

Maths-General

General

Maths-

Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$

Maths-General

General

Maths-

Explain how you can tell whether a rational expression is in simplest form?

Maths-General

General

Maths-

Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.

Maths-General

General

Maths-

Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$

Maths-General

General

Maths-

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Maths-General

General

Maths-

Explain the similarities between rational numbers and rational expressions ?

Maths-General

General

Maths-

Simplify the following expression.
$open parentheses fraction numerator 2 x minus 1 over denominator x plus 3 end fraction minus fraction numerator x squared minus 4 over denominator 2 x plus 1 end fraction close parentheses space cross times space fraction numerator 2 x squared plus 7 x plus 3 over denominator x plus 2 end fraction$

Maths-General

General

Maths-

Sketch the graph of $y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2$

Maths-General

General

Explain how you can use your graphing calculator to show that the rational expressions $fraction numerator negative 6 x squared plus 21 x over denominator 3 x end fraction$ and
$negative 2 x plus 7$ are equivalent under a given domain. What is true about the graph
at x = 0and Why?

GeneralGeneral

General

Maths-

If $A equals 2 x cubed plus 5 x squared plus 4 x plus 1 text and end text B equals 2 x squared plus 3 x plus 1$ then find the quotient from the following four option, when A is divided by B.

Maths-General

General

Maths-

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Maths-General

General

Maths-

Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.

Maths-General

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Can’t find what you’re looking for?

Express the rational expression in its lowest terms .

Simplify means to make it simple. In mathematics, simplify is the reduction of an expression/fraction into irreducible forms.We are asked to reduce the expression into the simplest form.

The correct answer is: x - 3 / (2x - 5)

Step 1 of 1:Simplify the expression and cancel out the common factors;

Related Questions to study

When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

Identify the slope and y-intercept of the line:

Identify the slope and y-intercept of the line:

Rewrite the equation to isolate x.

Rewrite the equation to isolate x.

Find the product of the rational expression

Find the product of the rational expression

Explain how you can tell whether a rational expression is in simplest form?

Explain how you can tell whether a rational expression is in simplest form?

Determine whether is sometimes , always or never true . Justify your reasoning.

Determine whether is sometimes , always or never true . Justify your reasoning.

Identify the slope and y-intercept of the line:

Identify the slope and y-intercept of the line:

Find the extraneous solution of

Find the extraneous solution of

Explain the similarities between rational numbers and rational expressions ?

Explain the similarities between rational numbers and rational expressions ?

Simplify the following expression.

Simplify the following expression.

Sketch the graph of

Sketch the graph of

Explain how you can use your graphing calculator to show that the rational expressions andare equivalent under a given domain. What is true about the graphat x = 0and Why?

Explain how you can use your graphing calculator to show that the rational expressions andare equivalent under a given domain. What is true about the graphat x = 0and Why?

If then find the quotient from the following four option, when A is divided by B.

If then find the quotient from the following four option, when A is divided by B.

Find the extraneous solution of

Find the extraneous solution of

Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.

Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.

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Express the rational expression in its lowest terms .
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction$

Simplify means to make it simple. In mathematics, simplify is the reduction of an expression/fraction into irreducible forms.
We are asked to reduce the expression into the simplest form.

When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$

Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$

Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.

Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.

Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$

Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$

Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.

Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.

Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$

Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Sketch the graph of $y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2$

Sketch the graph of $y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2$

Explain how you can use your graphing calculator to show that the rational expressions $fraction numerator negative 6 x squared plus 21 x over denominator 3 x end fraction$ and
$negative 2 x plus 7$ are equivalent under a given domain. What is true about the graph
at x = 0and Why?

Explain how you can use your graphing calculator to show that the rational expressions $fraction numerator negative 6 x squared plus 21 x over denominator 3 x end fraction$ and
$negative 2 x plus 7$ are equivalent under a given domain. What is true about the graph
at x = 0and Why?

If $A equals 2 x cubed plus 5 x squared plus 4 x plus 1 text and end text B equals 2 x squared plus 3 x plus 1$ then find the quotient from the following four option, when A is divided by B.

If $A equals 2 x cubed plus 5 x squared plus 4 x plus 1 text and end text B equals 2 x squared plus 3 x plus 1$ then find the quotient from the following four option, when A is divided by B.

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$