(-12x -12)/((x+3)(x+4)(x-5))

Multiplyxand12Multiply

xand1

The

xjust gets copied along.The answer is

x

x12*x evaluates to

12xBecause of the minus sign

12xbecomes -12xThe answer is

-12x-12*x-12 evaluates to

-12x-12x+3 evaluates to

x+3x+4 evaluates to

x+4Multiplying

x+3byx+4is a classic Algebra problem. Here, you are trying

to multiply two binomials together (two expressions that each contain two terms).

Your book might call this finding the "Product of Two Binomials".

To work this problem, we'll use the "F.O.I.L." method. F.O.I.L. stands

forFirst,Outer,Inner,Last.

First, we'll multiply the two

First terms, thexandxtogether.

Multiply

xandxMultiply the

xandxMultiply

xandx

Combine the

xandxby adding the exponents, and keeping the x, to getThe answer is

x×x=Second, we'll multiply the two

Outer terms, thexand4together.

Multiply

xand4Multiply

xand1

The

xjust gets copied along.The answer is

x

x

x×4=4xThird, we'll multiply the two

Inner terms, the3andxtogether.

Multiply

3andxMultiply

1andx

The

xjust gets copied along.

x

3×x=3x

4xcombines with3xto give7xLastly, we'll multiply the two

Last terms, the3and4together.

Multiply

3and4

1

3×4=12(x+3)*(x+4) evaluates to

x-5 evaluates to

x-5Multiply by

x-5we multiply by each term in

x-5term by term.This is the distributive property of multiplication.

Multiply and

xMultiply the and

xMultiply and

x

Combine the and

xby adding the exponents, and keeping the x, to getThe answer is

×

x=Multiply and

-5Multiply and

1

The just gets copied along.

The answer is

×

-5=Multiply

7xandxMultiply the

xandxMultiply

xandx

Combine the

xandxby adding the exponents, and keeping the x, to getThe answer is

7x×x=combines with to give

Multiply

7xand-5Multiply

xand1

The

xjust gets copied along.The answer is

x

x

7x×-5=-35xMultiply

12andxMultiply

1andx

The

xjust gets copied along.

x

12×x=12x

-35xcombines with12xto give-23xMultiply

12and-5

1

12×-5=-60(x+3)*(x+4)*(x-5) evaluates to

Sorry, at this time the divisor may be a monomial AT MOST (e.g. contain only 1 term).

The answer below IS NOT correct.

(-12*x-12)/((x+3)*(x+4)*(x-5)) evaluates to-12x-12

The final answer is

-12x-12