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)
=20x^2−12x+10x+6
=20x^2−2x+6
Elijah's mistake was in the step where he multiplied 4x by -3. He correctly distributed 4x to both terms in the second parenthesis, but incorrectly multiplied 4x by -3 to get -12x instead of -2x.
The correct product is:
s(t)⋅h(t)= (4x−2)(5x−3)
= 20x^2 -12x -10x + 6
= 20x^2 - 22x + 6