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Chapter 5: Q.439R (page 561)

Multiply the binomials by using

(a) The Distributive property (b) the FOIL method (c) the Vertical method.

y-4y+12.

Short Answer

Expert verified

(a) Using the distributive propertyy-4y+12=y2+8y-48.

(b) using the FOIL methody-4y+12=y2+8y-48.

(c) Using the Vertical methody-4y+12=y2+8y-48.

Step by step solution

01

Step 1

(a) Use the distributive property as follows:

y-4y+12=yy+12+-4y+12=y2+12y-4y-48=y2+8y-48

So,y-4y+12=y2+8y-48.

02

Step 2

(b) Use the FOIL method to multiply the binomialsy-4y+12.

Multiply First termsy,y:y路y=y2.

Multiply Outer terms y,12: y路12=12y.

Multiply Inner terms-4,y:-4路y=-4y.

Multiply Last terms -4,12: -4路12=-48.

Finally, add the terms:

y-4y+12=y2+12y-4y-48=y2+8y-48

So, y-4y+12=y2+8y-48.

03

Step 3

(c) Using the Vertical method.

y-4脳y+1212y-48y2-4yy2+8y-48

So,y-4y+12=y2+8y-48.

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In the following exercises, multiply the binomials using a) the Distributive Property; b) the FOIL method; c) the Vertical Method

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