SOLUTION: Perform Indicated Operation (5x^2-7x+2)-(3x^2-4x-7)

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Question 75209This question is from textbook Intermediate Algebra
: Perform Indicated Operation
(5x^2-7x+2)-(3x^2-4x-7)This question is from textbook Intermediate Algebra

Found 2 solutions by alan, jim_thompson5910:
Answer by alan(1) About Me  (Show Source):
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
%285x%5E2-7x%2B2%29-%283x%5E2-4x-7%29
5x%5E2-7x%2B2-3x%5E2%2B4x%2B7Distribute the negative
5x%5E2-3x%5E2-7x%2B4x%2B7%2B2Group like terms
2x%5E2-3x%2B9Add and subtract like terms. There's your answer. The previous person who answered this must have read this wrong. The answer is not x%2B9. You can always graph these or select an x value to see if the answer is correct.


Let x=2
%285%282%29%5E2-7%282%29%2B2%29-%283%282%29%5E2-4%282%29-7%29
%2820-14%2B2%29-%2812-8-7%29
%288%29-%28-3%29
8%2B3=11Compare this answer to our previous answer with x=2
2%282%29%5E2-3%282%29%2B9Plug in x=2
8-6%2B9=11Works
This shows us that the answer is correct