The questions asks to \"simplify the expression.\" However all other notes do no

Question

The questions asks to "simplify the expression." However all other notes do not tell anything at all about how to do the problem and the answer I get is completely different than what the back of the book says. 2x^2 + 7x + 3 __________ 2x^2 - 7x - 4 The answer they give is x + 3 ____ x - 4 how would I go about getting this answer and other answers like this in the future? (the 2x^2 is 2x raised to the 2nd but this will not let me keep the exponent on the number) The questions asks to "simplify the expression." However all other notes do not tell anything at all about how to do the problem and the answer I get is completely different than what the back of the book says. 2x^2 + 7x + 3 __________ 2x^2 - 7x - 4 The answer they give is x + 3 ____ x - 4 how would I go about getting this answer and other answers like this in the future? (the 2x^2 is 2x raised to the 2nd but this will not let me keep the exponent on the number)

Explanation / Answer

(Ex+F)(Gx+X) Then the hope is that Ax+B will equal one of the terms on the bottom, making them cancel out.
Factoring the top term first: 2x^2+7x+3 = (2x + 1)(x + 3)
Then the bottom term 2x^2-7x-4 = (2x + 1)(x - 4)
Then the 2x + 1 terms cancel out and you get your answer of (x+3) (x-4)

2x^2-7x-4 = (2x + 1)(x - 4)
Then the 2x + 1 terms cancel out and you get your answer of (x+3) (x-4)

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