Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2.

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15-06-2017
Mathematics

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Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2.

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JonHenderson55 JonHenderson55 · Answer 1 · 2017-06-18T12:58:07+02:00

The answer is: " -3x² + 6 " .
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Explanation:
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(2x² + 3x - 4) + (8 - 3x) + (- 5x² + 2) =

2x² + 3x - 4 + 8 - 3x + 1(- 5x² + 2) ;
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Note: 1(-5x² + 2) = - 5x² + 2 ;
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2x² + 3x - 4 + 8 - 3x + 1(- 5x² + 2) =

2x² + 3x - 4 + 8 - 3x - 5x² + 2 = ?
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Combine the "like terms" ;

+2x² - 5x² = - 3x² ;

+3x -3x = 0

-4 + 8 + 2 = 6 ;
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So, we have: " - 3x² + 6 " .
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