Elijah used the distributive property to find the product of s(t)

Question

and h(t)
. His work was marked incorrect. Explain Elijah's mistake. Correct Elijah's work to show the correct answer.

s(t)⋅h(t)= (4x−2)(5x−3)


=20x2−12x+10x+6


=20x2−2x+6


(3 points)

Answer 1

Elijah's mistake was that he combined like terms incorrectly. When multiplying (4x-2) and (5x-3), the steps should be as follows:

(4x-2)(5x-3)
= 20x^2 - 12x - 10x + 6
= 20x^2 - 22x + 6

So the correct answer is 20x^2 - 22x + 6.