Expanding the Expression: (x+4)(x+8)
When we are given the expression (x+4)(x+8)
, our task is to expand it into a simpler form. In this article, we will go through the step-by-step process of expanding this expression.
Step 1: Multiply the Two Binomials
To expand the expression, we need to multiply the two binomials: (x+4)
and (x+8)
. We can do this by multiplying each term in the first binomial with each term in the second binomial.
Step 2: Multiply the Terms
Multiply the terms as follows:
x
(from the first binomial) withx
(from the second binomial) =x^2
x
(from the first binomial) with8
(from the second binomial) =8x
4
(from the first binomial) withx
(from the second binomial) =4x
4
(from the first binomial) with8
(from the second binomial) =32
Step 3: Combine Like Terms
Now, combine the like terms:
x^2
(no like terms)8x
and4x
are like terms, combine them:12x
32
(no like terms)
The Expanded Expression
Therefore, the expanded expression is:
(x+4)(x+8) = x^2 + 12x + 32
And that's it! We have successfully expanded the expression (x+4)(x+8)
.