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Chapter 6: Q. 660 (page 802)

Multiply a Trinomial by a Binomial In the following exercises, multiply using

(a) the Distributive Property,

(b) the Vertical Method

(n+1)n2+5n-2

Short Answer

Expert verified

Part (a) By distribution method we get n3+6n2+3n-2

Part (b) By vertical method we get

Step by step solution

01

Step 1. Given information

An expression is given as(n+1)n2+5n-2

02

Part (a) step 1. Distribution property

Distribution property is

(a+b)(c+d+e)=a(c+d+e)+b(c+d+e)

Now apply distribution property,

(n+1)n2+5n-2=nn2+5n-2+1n2+5n-2=n3+5n2-2n+n2+5n-2=n3+6n2+3n-2

03

Part (a) step 2. vertical method

Vertical method is

n2+5n-2脳n+1n2+5n-2n3+5n2-2n脳n3+6n2+3n-2

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