   Chapter 0.3, Problem 45E

Chapter
Section
Textbook Problem

In Exercises 31–48, (a) factor the given expression, and (b) set the expression equal to zero and solve for the unknown (x in the odd-numbered exercises and y in the even-numbered exercises.) x 2 + 4 x y + 4 y 2

(a)

To determine

To calculate: The factors of the expression x2+4xy+4y2.

Explanation

Given information:

The expression, x2+4xy+4y2.

Formula used:

Square of a sum

(a+b)2=a2+2ab+b2

Where, a and b are the real numbers.

Calculation:

Consider the expression,

x2+4xy+4y2

Rewrite the above expression as,

x2+2x

(b)

To determine

To calculate: The value of x when the expression x2+4xy+4y2 is equal to zero.

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