Question

question
express as a trinomial.
(2x - 8)(2x - 6)

Explanation:

Step1: Apply FOIL method (First terms)

Multiply the first terms of each binomial:
$2x \times 2x = 4x^2$

Step2: Apply FOIL method (Outer terms)

Multiply the outer terms of the binomials:
$2x \times (-6) = -12x$

Step3: Apply FOIL method (Inner terms)

Multiply the inner terms of the binomials:
$-8 \times 2x = -16x$

Step4: Apply FOIL method (Last terms)

Multiply the last terms of each binomial:
$-8 \times (-6) = 48$

Step5: Combine all terms

Combine the results from Steps 1-4:
$4x^2 - 12x - 16x + 48$

Step6: Combine like terms

Combine the linear terms:
$4x^2 + (-12x -16x) + 48 = 4x^2 -28x +48$

Answer:

$4x^2 - 28x + 48$