Question

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

Answer 1

Answer:

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

Step-by-step 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 $x^2-x-12$.

Answer 2

ANSWER

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

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:

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