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91Ó°ÊÓ

Find each product.

x+52

Short Answer

Expert verified

x2+10x+25

Step by step solution

01

Step 1. Write a pattern of square of a sum.

The square ofx+y is the square of x plus twice the product of x and y plus square of y, that is,

x+y2=x+yx+y=x2+2xy+y2

02

Step 2. Apply pattern of square of sum.

Apply the pattern of square of sum to the given expression.

x2+2â‹…xâ‹…5+52

03

Step 3. Simplify.

Simplify the above obtained expression.

x2+10x+25

Therefore, the product ofx+52 is x2+10x+25.

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