Question

question
express as a trinomial.
$(3x - 6)(x + 10)$

Explanation:

Step1: Apply FOIL method (First terms)

Multiply first terms of each binomial:
$3x \times x = 3x^2$

Step2: Apply FOIL method (Outer terms)

Multiply outer terms of the binomials:
$3x \times 10 = 30x$

Step3: Apply FOIL method (Inner terms)

Multiply inner terms of the binomials:
$-6 \times x = -6x$

Step4: Apply FOIL method (Last terms)

Multiply last terms of each binomial:
$-6 \times 10 = -60$

Step5: Combine all terms

Sum the results from Steps 1-4:
$3x^2 + 30x - 6x - 60$

Step6: Combine like terms

Simplify the linear terms:
$3x^2 + (30x - 6x) - 60 = 3x^2 + 24x - 60$

Answer:

$3x^2 + 24x - 60$