How do you simplify $(2 x^{2} - 8 x - 9) + (- 5 x^{2} + 3 x + 1)$ $(2x ^ { 2} - 8x - 9) + ( - 5x ^ { 2} + 3x + 1)$ ?

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Answer 1 · 2017-09-23T15:57:22

Answer: $- 3 x^{2} - 5 x - 10$ $-3x^2 -5x -10$

Just simplification. You need to collect like-terms.

Step one:

$2 x^{2} - 8 x - 9 + (- 5 x^{2}) + 3 x + 1$ $color(red)(2x^2) - 8x -9 + color(red)((-5x^2)) +3x + 1$

when simplified this gives us

$- 3 x^{2} - 8 x - 9 + 3 x + 1$ $color(green)(-3x^2)-8x -9+3x+1$

Step two:

$- 3 x^{2} - 8 x - 9 + 3 x + 1$ $-3x^2 color(red)(-8x) -9 + color(red)(3x) +1$

when simplified this gives us

$- 3 x^{2} - 5 x - 9 - 1$ $-3x^2color(green)(-5x)-9-1$

Final step:

$- 3 x^{2} - 5 x - 9 - 1$ $-3x^2 -5x color(red)(-9) color(red)(-1)$

Answer:

$- 3 x^{2} - 5 x - 10$ $-3x^2 -5x -10$

How do you simplify (2x ^ { 2} - 8x - 9) + ( - 5x ^ { 2} + 3x + 1)(2x2−8x−9)+(−5x2+3x+1)(2x ^ { 2} - 8x - 9) + ( - 5x ^ { 2} + 3x + 1)?