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Please help I don't understand it.

Perform the indicated operation. (2x + y)^2

2 Answers

3 votes

Answer:(2x+y)^2

= (4x^2)+4xy+(y^2)

Step-by-step explanation:Use the (a+b)^2 formula which states a^2+2ab+b^2

answered
User Baskaya
by
8.3k points
4 votes

Answer:

4x^2 + 4xy + y^2

Explanation:

"(2x + y)^2" is an example of "square of a binomial." Among the various algebraic rules there is a formula applying here:

(a + b)^2 = a^2 + 2ab + b^2 (square of a binomial, square of the sum of

two numbers)

It would be worth your while to learn this, as well as

(a - b)^2 = a^2 - 2ab + b^2

Applying the rule (a + b)^2 = a^2 + 2ab + b^2 to (2x + y)^2, we get:

(2x)^2 + 2(2x)(y) + y^2, or, after simplification:

4x^2 + 4xy + y^2

answered
User Iago Dahlem
by
7.6k points

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