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

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

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=an−m. Apply this to 2×2(y+x)(y+x). Combine powers. 2×2(y+x)(y+x)=2×2(y+x)−1−1: 2×2(y+x)−1−1 Evaluate −1−1. −1−1=−2: 2×2(y+x)−2 Multiply 2 and 2 together. 2×2=4: Answer: 4(y+x)2

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

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=an−m. Apply this to 2×2(y+x)(y+x). Combine powers. 2×2(y+x)(y+x)=2×2(y+x)−1−1: 2×2(y+x)−1−1 Evaluate −1−1. −1−1=−2: 2×2(y+x)−2 Multiply 2 and 2 together. 2×2=4: Answer: 4(y+x)2

Step by step solution to "Which expression is equvalent to 2x+yx+y2? A. 4(x+y)2..."

High School
Algebra
Pre-Algebra
Equations, expressions, and inequalitie

Juan Hewlett

Answered question

2021-12-23

Which expression is equvalent to

\frac{\frac{2}{x + y}}{\frac{x + y}{2}}

?
A.

\frac{4}{{(x + y)}^{2}}

1

\frac{x + y}{2}

x + y

Answer & Explanation

boronganfh

Beginner2021-12-24Added 33 answers

\frac{\frac{2}{x + y}}{\frac{x + y}{2}} = \frac{2}{x + y} \div \frac{x + y}{2}

= \frac{2}{x + y} \times \frac{2}{x + y}

= \frac{4}{{(x + y)}^{2}}

Therefore, answer is A.

xandir307dc

Beginner2021-12-25Added 35 answers

Simplify the following:

\frac{2}{\frac{y + x}{2} (y + x)}

Write

\frac{\frac{2}{y + x}}{\frac{y + x}{2}}

as a single fraction.
Multiply the numerator by the reciprocal of the denominator,

\frac{\frac{2}{y + x}}{\frac{y + x}{2}} = \frac{2}{y + x} \times \frac{2}{y + x}

\frac{2 \times 2}{(y + x) (y + x)}

For all exponents,

\frac{a^{n}}{a^{m}} = a^{n - m}

. Apply this to

\frac{2 \times 2}{(y + x) (y + x)} .

Combine powers.

\frac{2 \times 2}{(y + x) (y + x)} = 2 \times 2 {(y + x)}^{- 1 - 1} :

2 \times 2 {(y + x)}^{- 1 - 1}

Evaluate

- 1 - 1 .

- 1 - 1 = - 2 :

2 \times 2 {(y + x)}^{- 2}

Multiply 2 and 2 together.

2 \times 2 = 4 :

Answer:

\frac{4}{{(y + x)}^{2}}

karton

Expert2021-12-30Added 613 answers

Thank you, both answers are very helpful!

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