Question

Simplify the product (x-4)(x+3)

Answer 1

`(x-4)(x+3) = {x}^(2) - x - 12`

EXPLANATION

The given product is (x-4)(x+3)

We expand using the distributive property to obtain:

`(x-4)(x+3) = x(x + 3) - 4(x + 3)`

Expand the parenthesis to obtain:

`(x-4)(x+3) = {x}^(2) + 3x- 4x - 12`

Combine the similar terms to get:

`(x-4)(x+3) = {x}^(2) - x - 12`

Answer 2

Final answer is
`x^2-x-12`.

Explanation:

Given expression is
`\left(x-4\right)\left(x+3\right)`.

Now we need to find the product of the given expression
`\left(x-4\right)\left(x+3\right)`.

`\left(x-4\right)\left(x+3\right)`

`=x\left(x-4\right)+3\left(x-4\right)`

`=x^2-4x+3x-12`

combine like terms

`=x^2-1x-12`

`=x^2-x-12`

Hence final answer is
`x^2-x-12`.