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Maths-

General

Easy

Question

Determine the GCF and write the expression in factored form.

$open parentheses 6 x squared minus 4 x close parentheses plus open parentheses 4 x squared minus 8 x close parentheses$

hint Hint:

The highest number that divides exactly into two or more numbers is known as GCF.

Factored form refers to the form of a number or algebraic expression when it has been broken down into a product of its factors.

The correct answer is: GCF will be 2x.

We have been given an algebraic expression in the question that is -

We have to find the GCF and write the expression in factored form.

Step 1 of 1:
We have given a polynomial $open parentheses 6 x squared minus 4 x close parentheses plus open parentheses 4 x squared minus 8 x close parentheses$
We know that on polynomial we can add/subtract like terms.
So,
$open parentheses 6 x squared minus 4 x close parentheses plus open parentheses 4 x squared minus 8 x close parentheses$
$open parentheses 10 x squared minus 12 x close parentheses$
Now, Factorize it
$2 x left parenthesis 5 x minus 6 right parenthesis$
GCF will be 2x.

Related Questions to study

Use distributive property to find the product of two polynomials.
(5𝑥 − 4) (2𝑥 + 1)

Use distributive property to find the product of two polynomials.
(5𝑥 − 4) (2𝑥 + 1)

Simplify:
(i) (2m³ + 2m) (4m - 2)

Simplify:
(i) (2m³ + 2m) (4m - 2)

The area of a rectangle is $12 x cubed minus 18 x squared plus 6 x$ . The width is equal to the GCF. What could the dimensions of the rectangle be?

The area of a rectangle is $12 x cubed minus 18 x squared plus 6 x$ . The width is equal to the GCF. What could the dimensions of the rectangle be?

parallel

Find the area of the green rectangle.

Find the area of the green rectangle.

Find the area of the green rectangle.

Find the area of the green rectangle.

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$3 x squared minus 2 x minus 4 text and ? end text$

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$3 x squared minus 2 x minus 4 text and ? end text$

parallel

Multiply: x² - 8x + 8 by 6x² -3x + 4

Multiply: x² - 8x + 8 by 6x² -3x + 4

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$18 x squared plus 12 x minus 24 text and ? end text$

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$18 x squared plus 12 x minus 24 text and ? end text$

Use the difference of squares to find the product 56 × 44.

This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2

Use the difference of squares to find the product 56 × 44.

This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2

parallel

Find the area of the green rectangle.

Find the area of the green rectangle.

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$2 x text and end text ?$

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$2 x text and end text ?$

(ℎ + 𝑘)(ℎ − 𝑘) =

(ℎ + 𝑘)(ℎ − 𝑘) =

parallel

Find the product. (2𝑥 − 4)(2𝑥 + 4)

This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2

Find the product. (2𝑥 − 4)(2𝑥 + 4)

This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2

Use the square of a binomial to find the value of 51².

Use the square of a binomial to find the value of 51².

Subtract -5x² from the sum of 3xy - 2x²+ 19 and 9y² + 3x² - 5.

Subtract -5x² from the sum of 3xy - 2x²+ 19 and 9y² + 3x² - 5.

parallel

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