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
Elijah's mistake is in the second step. When using the distributive property to multiply (4x-2)(5x-3), you need to multiply each term from the first set of parentheses by each term from the second set of parentheses.
The correct expansion using the distributive property would be:
s(t)⋅h(t) = (4x)(5x) + (4x)(-3) + (-2)(5x) + (-2)(-3)
= 20x^2 - 12x - 10x + 6
= 20x^2 - 22x + 6
So the correct answer is 20x^2 - 22x + 6.