Chapter 8: Q15. (page 469)

Find each product.
${(3 x - 2 y)}^{2}$

Short Answer

Expert verified

$9 x^{2} - 12 x y + 4 y^{2}$

Step by step solution

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

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

width="158" height="48" role="math">x−y2=x−yx−y=x2−2xy+y2

Step 2. Apply pattern of square of difference.

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

${(3 x)}^{2} - 2 \cdot (3 x) \cdot (2 y) + {(2 y)}^{2}$

Step 3. Simplify.

Simplify the above obtained expression.

$3^{2} x^{2} - 2 \cdot 3 \cdot 2 \cdot x \cdot y + 2^{2} y^{2} = 9 x^{2} - 12 x y + 4 y^{2}$

Therefore, the product of ${(3 x - 2 y)}^{2}$ is $9 x^{2} - 12 x y + 4 y^{2}$ .

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Find each product.
${(3 x - 2 y)}^{2}$

Short Answer

Step by step solution

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

Step 2. Apply pattern of square of difference.

Step 3. Simplify.

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Find each product.3x−2y2

Short Answer

Step by step solution

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

Step 2. Apply pattern of square of difference.

Step 3. Simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Discrete Mathematics

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Statistics

Geometry

Study anywhere. Anytime. Across all devices.

Find each product.
${(3 x - 2 y)}^{2}$