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
Show work step by step
Elijah correctly applied the distributive property by multiplying each term in the first expression (4x and -2) with each term in the second expression (5x and -3). However, he made a mistake when combining like terms.
The correct steps to find the product of s(t) and h(t) are as follows:
s(t)⋅h(t) = (4x - 2)(5x - 3)
= 4x * 5x + 4x * (-3) - 2 * 5x - 2 * (-3) (applying the distributive property)
= 20x^2 - 12x - 10x + 6
= 20x^2 - 22x + 6
Therefore, the correct result is 20x^2 - 22x + 6.