(2x +4)(x-6)
Multiply x and 2
Multiply x and 1
The x just gets copied along.
The answer is x
x
2*x evaluates to 2x
2*x+4 evaluates to 2x+4
x-6 evaluates to x-6
Multiplying 2x+4 by x-6 is 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
for First, Outer, Inner, Last.
First, we'll multiply the two First terms, the 2x and x together.
Multiply 2x and x
Multiply the x and x
Multiply x and x
Combine the x and x by adding the exponents, and keeping the x, to get
The answer is
2x × x =
Second, we'll multiply the two Outer terms, the 2x and -6 together.
Multiply 2x and -6
Multiply x and 1
The x just gets copied along.
The answer is x
x
2x × -6 = -12x
Third, we'll multiply the two Inner terms, the 4 and x together.
Multiply 4 and x
Multiply 1 and x
The x just gets copied along.
x
4 × x = 4x
-12x combines with 4x to give -8x
Lastly, we'll multiply the two Last terms, the 4 and -6 together.
Multiply 4 and -6
1
4 × -6 = -24
(2*x+4)*(x-6) evaluates to
The final answer is