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Chapter 8: Q16. (page 469)

Find each product.

2x+5y2x鈭�5y

Short Answer

Expert verified

4x2鈭�25y2

Step by step solution

01

Step 1. Write a pattern of product of sum and difference.

The product ofx+y andx鈭�y is the square of x minus square of y, that is,

x+yx鈭�y=x鈭�yx+y=x2鈭�y2

02

Step 2. Apply pattern of product of sum and difference.

Apply the pattern of product of sum and difference to the given expression.

2x2鈭�5y2

03

Step 3. Simplify.

Simplify the above obtained expression.

22x2鈭�52y2=4x2鈭�25y2

Therefore, the product of2x+5y2x鈭�5y is 4x2鈭�25y2.

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