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Elijah used the distributive property to find the product of s(t) and h(t) . His work was marked incorrect. Explain Elijah's mi...Question
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
s(t)⋅h(t)= (4x−2)(5x−3)
=20x^2−12x+10x+6
=20x^2−2x+6
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Answered by
GPT 3.5
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
The correct product is:
s(t)⋅h(t)= (4x−2)(5x−3)
= 20x^2 -12x -10x + 6
= 20x^2 - 22x + 6
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