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