Question

question
express as a trinomial.
$(2x - 3)(3x - 7)$

Explanation:

Step1: Apply FOIL method (First terms)

Multiply first terms of each binomial:
$2x \times 3x = 6x^2$

Step2: Apply FOIL method (Outer terms)

Multiply outer terms of the binomials:
$2x \times (-7) = -14x$

Step3: Apply FOIL method (Inner terms)

Multiply inner terms of the binomials:
$-3 \times 3x = -9x$

Step4: Apply FOIL method (Last terms)

Multiply last terms of each binomial:
$-3 \times (-7) = 21$

Step5: Combine all terms

Sum the results from Steps 1-4:
$6x^2 -14x -9x +21$

Step6: Combine like terms

Combine the linear terms:
$6x^2 + (-14x -9x) +21 = 6x^2 -23x +21$

Answer:

$6x^2 - 23x + 21$