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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