(x + 6)(x + 2)
x² + 8x + 12
To multiply the two binomials (x + 6) and (x + 2), we will use the distributive property.
First, we will multiply the first term of the first binomial, which is x, by each term of the second binomial, x and 2.
x(x) = x^2
x(2) = 2x
Then, we will multiply the second term of the first binomial, which is 6, by each term of the second binomial, x and 2.
6(x) = 6x
6(2) = 12
Now we have all four products. We add the four products together and simplify the resulting expression:
x^2 + 2x + 6x + 12 = x^2 + 8x + 12
Therefore, (x + 6)(x + 2) = x^2 + 8x + 12.
More Answers:
[next_post_link]