Maths-
General
Easy
Question
Which of the following rational expressions simplify to 
? Select all that apply .
Hint:
The expansion of the identity is 
.
We are asked to simplify the expression and check which one of them are equivalent to 
.
The correct answer is:
Step 1 of 3:
Simplify the expression,
The simplified expression is not equal to . Hence, they are not equivalent expressions.
Step 2 of 3:
Simplify the expression,
The simplified expression is not equal to . Hence, they are not equivalent expressions.
Step 3 of 3:
Simplify the expression,
= 
The simplified expression is equal to 
. Hence, they are equivalent expressions.
Simplify means to make it simple. In mathematics, simplify is the reduction of an expression/fraction into irreducible forms.
Related Questions to study
Maths-
Why do you have to state the domain when simplifying rational expressions ?
Why do you have to state the domain when simplifying rational expressions ?
Maths-General
Maths-
Find the product and the domain ?
Find the product and the domain ?
Maths-General
Maths-
A Student divided the rational expression as follows :
Describe and correct the errors the student made ?
A Student divided the rational expression as follows :
Describe and correct the errors the student made ?
Maths-General
Maths-
Define rational expression and Provide an example of a rational expression .
Define rational expression and Provide an example of a rational expression .
Maths-General
Maths-
Find the product and the domain ?
Find the product and the domain ?
Maths-General
Maths-
How does understanding operations with fractions help you multiply and divide rational expressions?
How does understanding operations with fractions help you multiply and divide rational expressions?
Maths-General
Maths-
The company compares the ratios of surface area to volume for two more containers . One is a rectangular prism with a square base. The other is rectangular prism with a rectangular base. One side of the base is equal to the side length of first container. And the other side is twice as long. The Surface area of this second container is 
. The heights of two containers are equal. Which has the smaller surface area -to – Volume ratio?
The company compares the ratios of surface area to volume for two more containers . One is a rectangular prism with a square base. The other is rectangular prism with a rectangular base. One side of the base is equal to the side length of first container. And the other side is twice as long. The Surface area of this second container is . The heights of two containers are equal. Which has the smaller surface area -to – Volume ratio?
Maths-General
Maths-
Let D= { -2, -1, 0, 1, 2}. Is D a subset of itself ? Explain.
Note: Every set is a subset of itself.
Let D= { -2, -1, 0, 1, 2}. Is D a subset of itself ? Explain.
Maths-General
Note: Every set is a subset of itself.
Maths-
Is the difference of a rational number and an irrational number always irrational ?
Is the difference of a rational number and an irrational number always irrational ?
Maths-General
Maths-
Find the product and the domain ?
Find the product and the domain ?
Maths-General
Maths-
Is the Product of a rational number and irrational number rational or irrational ? Explain with an example.
Is the Product of a rational number and irrational number rational or irrational ? Explain with an example.
Maths-General
Maths-
Is the sum of a rational number and irrational number rational or irrational ? Explain with an example.
Is the sum of a rational number and irrational number rational or irrational ? Explain with an example.
Maths-General
Maths-
Is the product of two rational numbers always a rational number ?Explain with an example.
Is the product of two rational numbers always a rational number ?Explain with an example.
Maths-General
Maths-
Brie designed a carnival game that involves tossing a beanbag into the box shown. In order to win a prize , the beanbag must fall inside the black rectangle . The Probability of winning is equal to the ratio of the area of the black rectangle to the total area of the face of the box shown. Find this probability in simplified form .
Brie designed a carnival game that involves tossing a beanbag into the box shown. In order to win a prize , the beanbag must fall inside the black rectangle . The Probability of winning is equal to the ratio of the area of the black rectangle to the total area of the face of the box shown. Find this probability in simplified form .
Maths-General
Maths-
A Company is evaluating two packaging options for its product line. The more efficient design will have the lesser ratio of surface area to volume. Should the company use packages that are cylinders or rectangular prisms ?
A Company is evaluating two packaging options for its product line. The more efficient design will have the lesser ratio of surface area to volume. Should the company use packages that are cylinders or rectangular prisms ?
Maths-General
