Chapter 8: Q16. (page 469)

Find each product.
$(2 x + 5 y) (2 x - 5 y)$

Short Answer

Expert verified

$4 x^{2} - 25 y^{2}$

Step by step solution

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

The product of $x + y$ and $x - y$ is the square of x minus square of y, that is,

$(x + y) (x - y) = (x - y) (x + y) = x^{2} - y^{2}$

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

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

${(2 x)}^{2} - {(5 y)}^{2}$

Step 3. Simplify.

Simplify the above obtained expression.

$2^{2} x^{2} - 5^{2} y^{2} = 4 x^{2} - 25 y^{2}$

Therefore, the product of $(2 x + 5 y) (2 x - 5 y)$ is $4 x^{2} - 25 y^{2}$ .

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Find each product.
$(2 x + 5 y) (2 x - 5 y)$

Short Answer

Step by step solution

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

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

Step 3. Simplify.

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Find each product.2x+5y2x−5y

Short Answer

Step by step solution

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

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

Step 3. Simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Find each product.
$(2 x + 5 y) (2 x - 5 y)$