Chapter 5: Q.233. (page 537)

Multiply each pair of conjugates using the product of the conjugates pattern.
$(7 w + 10 x) (7 w - 10 x)$

Short Answer

Expert verified

The solution is $49 w^{2} - 100 x^{2}$ .

Step by step solution

Step 1. Given information.

The given expression is $(7 w + 10 x) (7 w - 10 x)$ .

Step 2. Simplify the expression by using the difference of squares a+ba-b=a2-b2.

Solve it as follows:

$(7 w + 10 x) (7 w - 10 x) = {(7 w)}^{2} - {(10 x)}^{2} \Rightarrow 49 w^{2} - 100 x^{2}$

Step 3. Simplified expression.

Hence, the required expression is $49 w^{2} - 100 x^{2}$ .

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Multiply each pair of conjugates using the product of the conjugates pattern.
$(7 w + 10 x) (7 w - 10 x)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression by using the difference of squares a+ba-b=a2-b2.

Step 3. Simplified expression.

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Multiply each pair of conjugates using the product of the conjugates pattern.7w+10x7w-10x

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression by using the difference of squares a+ba-b=a2-b2.

Step 3. Simplified expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Pure Maths

Applied Mathematics

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Multiply each pair of conjugates using the product of the conjugates pattern.
$(7 w + 10 x) (7 w - 10 x)$