How do you simplify (x-4)(x+8)?

Trystan Horne

Trystan Horne

Answered question

2022-02-11

How do you simplify (x-4)(x+8)?

Answer & Explanation

Ashly Forbes

Ashly Forbes

Beginner2022-02-12Added 12 answers

Explanation:
We can use the highly useful mnemonic FOIL, which says we multiply the first, outside, inside and last terms, and add the result. This is essentially doing the distributive property twice. We get:
First terms: xx=x2
Outside terms: x*8=8x
Inside terms: -4*x=-4x
Last terms: -4*8=-32
Thus ,we have:
x2+8x4x32
Which simplifies to
x2+4x32
Keely House

Keely House

Beginner2022-02-13Added 13 answers

Explanation:
Using the distributive property, when you multiply two polynomials together, you have to multiply each term of the first polynomial with the entire second polynomial.
(x-4)(x+8)
=x(x+8)-4(x+8)
=x2+8x4x32
=x2+4x32
Result:
(x-4)(x+8) can be simplified to x2+4x32.

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