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Chapter 5: Q.438R (page 561)

Multiply the binomials by using:

(a) The Distributive property

(b) the FOIL method

(c) the Vertical method.

a+5a+2.

Short Answer

Expert verified

(a) Using the distributive property a+5a+2=a2+7a+10.

(b) using the FOIL method a+5a+2=a2+7a+10.

(c) Using the Vertical methoda+5a+2=a2+7a+10.

Step by step solution

01

Step 1

(a) Use the distributive property ab+c=a路b+a路cas follows:

a+5a+2=aa+2+5a+2=a2+2a+5a+10=a2+7a+10

So,a+5a+2=a2+7a+10.

02

Step 2

(b) Use the FOIL method to multiply the binomials a+5a+2.

Multiply First terms a,a: a路a=a2.

Multiply Outer termsa,2: a路2=2a.

Multiply Inner terms 5,a: 5路a=5a.

Multiply Last terms 5,2: 5路2=10.

Finally, add the terms:

a+5a+2=a2+2a+5a+10=a2+7a+10

So, a+5a+2=a2+7a+10.

03

Step 3

(c) Use the vertical method.

a+5脳a+22a+10a2+5aa2+7a+10

So,a+5a+2=a2+7a+10.

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