Chapter 9: Q85. (page 535)

Find each product.
$(b - 7) (b + 3)$

Short Answer

Expert verified

The product of $(b - 7) (b + 3)$ is $b^{2} - 4 b - 21$ .

Step by step solution

Step 1. Write distributive property.

For any numbers, $a, b$ and c, $a (b + c) = a b + a c$ .

Step 2. Apply the distributive property.

Apply the distributive property to the given expression.

$b (b + 3) - 7 (b + 3) = b \cdot b + b \cdot 3 - 7 \cdot b - 7 \cdot 3$

Step 3. Multiply and simplify.

Multiply terms in the above expression and simplify them further.

$b^{2} + 3 b - 7 b - 21 = b^{2} - 4 b - 21$

Therefore, the product of $(b - 7) (b + 3)$ is $b^{2} - 4 b - 21$ .

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Find each product.
$(b - 7) (b + 3)$

Short Answer

Step by step solution

Step 1. Write distributive property.

Step 2. Apply the distributive property.

Step 3. Multiply and simplify.

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Find each product.b−7b+3

Short Answer

Step by step solution

Step 1. Write distributive property.

Step 2. Apply the distributive property.

Step 3. Multiply and simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

Find each product.
$(b - 7) (b + 3)$