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Chapter 6: Q 299. (page 729)

Multiply the following:

(a)(m鈭�3)(m+3)(b)(n鈭�10)(n+10)(c)(p鈭�8)(p+8)

Explain the pattern that you see in your answers.

Short Answer

Expert verified

We observe that If we multiply the two binomial(x-y)(x+y)then the result will bex2-y2.

Step by step solution

01

Part (a) Step 1. Given information. 

The given expression is:(m鈭�3)(m+3)

02

Part (a) Step 2. Use the FOIL method to multiply. 

(m鈭�3)(m+3)=m脳m+m脳(3)+(-3)脳m+(-3)脳(3)=m2+3m-3m-9=m2-9

03

Part (b) Step 1. Given information. 

The given expression is:(n-10)(n+10).

04

Part (b) Step 2. Use the FOIL method to multiply. 

(n鈭�10)(n+10)=n脳n+n脳(10)+(-10)脳n+(-10)脳(10)=n2+10n-10n-100=n2-100

05

Part (c) Step 1. Given information.  

The given expression is:(p-8)(p+8).

06

Part (c) Step 2. Use the FOIL method to multiply

(p鈭�8)(p+8)=p脳p+p脳8++(-8)脳p+(-8)脳8=p2+8p-8p-64=p2-64

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Most popular questions from this chapter

In the following exercises, multiply the following binomials using:

鈸� the Distributive Property

鈸� the FOIL method

鈸� the Vertical Method.

y+9y+3

Multiply. Use either method.

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In the following exercises, multiply

-3x27x2+10x-1

Simplify the polynomial.

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In the following exercises, multiply the following binomials using:

鈸� the Distributive Property

鈸� the FOIL method

鈸� the Vertical Method.

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