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 made a mistake when multiplying -2 and -3. The correct multiplication of -2 and -3 should give a positive value of 6, not -6.
So the correct work should be:
s(t)⋅h(t) = (4x−2)(5x−3)
= 20x^2 - 12x + 10x - 6
= 20x^2 - 2x - 6
Therefore, the correct answer is 20x^2 - 2x - 6.