Question

find the area of a rectangle with length (x - 5) and width (3x + 1). area = length x width

Explanation:

Step1: Multiply the two binomials

$$(x - 5)(3x + 1)=x\times(3x + 1)-5\times(3x + 1)$$

Step2: Distribute each term

$$=3x^{2}+x-15x - 5$$

Step3: Combine like terms

$$=3x^{2}-14x - 5$$

Answer:

$3x^{2}-14x - 5$