Question

perform the indicated operation.
$(2x - 8)(5x - 9)$

$(2x - 8)(5x - 9)=\square$ (simplify your answer. do not factor.)

Explanation:

Step1: Apply FOIL method (First terms)

Multiply first terms of each binomial:
$2x \times 5x = 10x^2$

Step2: Apply FOIL method (Outer terms)

Multiply outer terms of each binomial:
$2x \times (-9) = -18x$

Step3: Apply FOIL method (Inner terms)

Multiply inner terms of each binomial:
$-8 \times 5x = -40x$

Step4: Apply FOIL method (Last terms)

Multiply last terms of each binomial:
$-8 \times (-9) = 72$

Step5: Combine all terms

Sum the results from Steps 1-4:
$10x^2 - 18x - 40x + 72$

Step6: Combine like terms

Combine the linear terms:
$10x^2 + (-18x - 40x) + 72 = 10x^2 - 58x + 72$

Answer:

$10x^2 - 58x + 72$