(x+2)(x^2+3x-4) simplify the product into standard form.

Answer 1

To simplify the product, we distribute x to each term in the second factor:

x*(x^2) + x*(3x) - x*(4)
= x^3 + 3x^2 - 4x

Then, we distribute 2 to each term in the second factor:

2*(x^2) + 2*(3x) - 2*(4)
= 2x^2 + 6x - 8

Now, we add the two results together:

(x^3 + 3x^2 - 4x) + (2x^2 + 6x - 8)
= x^3 + 3x^2 - 4x + 2x^2 + 6x - 8
= x^3 + 5x^2 + 2x - 8

Therefore, the simplified form of the product (x+2)(x^2+3x-4) is x^3 + 5x^2 + 2x - 8.