Which expression is equvalent to \frac{\frac{2}{x+y}}{\frac{x+y}{2}}? A. \frac{4}{(x+y)^2} B. 1 C. \frac{x+y}{2} D. x+y

Juan Hewlett

Juan Hewlett

Answered question

2021-12-23

Which expression is equvalent to 2x+yx+y2?
A. 4(x+y)2
B. 1
C. x+y2
D. x+y

Answer & Explanation

boronganfh

boronganfh

Beginner2021-12-24Added 33 answers

2x+yx+y2=2x+y÷x+y2
=2x+y×2x+y
=4(x+y)2
Therefore, answer is A.
xandir307dc

xandir307dc

Beginner2021-12-25Added 35 answers

Simplify the following:
2y+x2(y+x)
Write 2y+xy+x2 as a single fraction.
Multiply the numerator by the reciprocal of the denominator, 2y+xy+x2=2y+x×2y+x:
2×2(y+x)(y+x)
For all exponents, anam=anm. Apply this to 2×2(y+x)(y+x).
Combine powers. 2×2(y+x)(y+x)=2×2(y+x)11:
2×2(y+x)11
Evaluate 11.
11=2:
2×2(y+x)2
Multiply 2 and 2 together.
2×2=4:
Answer: 4(y+x)2
karton

karton

Expert2021-12-30Added 613 answers

Thank you, both answers are very helpful!

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?