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Chapter 6: Q 237. (page 728)

In the following exercises, multiply the following binomials using:

鈸� the Distributive Property

鈸� the FOIL method

鈸� the Vertical Method.

w+5w+7

Short Answer

Expert verified

The required answer isw2+12w+35.

Step by step solution

01

Part (a) Step 1. Given information.

The given expression is:

w+5w+7

02

Part (a) Step 2. Use the distributive property to multiply.

w+5w+7

distribute w+7,

=w路w+7+5w+7

distribute again,

=w2+7w+5w+35

Combine like terms,

=w2+12w+35

03

Part (b) Step 1. Use the  FOIL method to multiply. 

w+5w+7=w路w+7路w+5路w+5路7=w2+7w+5w+35=w2+12w+35

04

Part (c) Step 1. Use the Vertical Method to multiply. 

w+5w+7

Use vertical method,

w+5脳w+77w+35w2+5ww2+12w+35

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