How do you combine like terms in the $(9 y^{2} - 2 y - 4) + (- 6 y^{2} + y + 7)$ $(9y^{2} - 2y - 4) + ( - 6y^{2} + y + 7)$ ?

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How do you combine like terms in the $(9 y^{2} - 2 y - 4) + (- 6 y^{2} + y + 7)$ $(9y^{2} - 2y - 4) + ( - 6y^{2} + y + 7)$ ?

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Answer 1 · 2018-07-03T04:29:14

$3 y^{2} - y + 3$ $3y^2-y+3$

Explanation:

First, put like terms next to each other for easy solving.
$(9 y^{2} - 2 y - 4) + (- 6 y^{2} + y + 7)$ $(9y^2-2y-4)+(-6y^2+y+7)$
$= (9 y^{2} - 6 y^{2}) + (- 2 y + y) + (- 4 + 7)$ $=(color(red)(9y^2-6y^2))+(color(blue)(-2y+y))+(color(orange)(-4+7))$
Then, combine the like terms.
$= (9 y^{2} - 6 y^{2}) + (- 2 y + y) + (- 4 + 7)$ $=(color(red)(9y^2-6y^2))+(color(blue)(-2y+y))+(color(orange)(-4+7))$
$= 3 y^{2} + - y + 3$ $=color(red)(3y^2)+color(blue)(-y)+color(orange)(3)$
Change any redundant symbols so the expression makes sense.
$= 3 y^{2} + - y + 3$ $=color(red)(3y^2)+color(blue)(-y)+color(orange)(3)$
$= 3 y^{2} - y + 3$ $=color(red)(3y^2)color(blue)(-y)color(orange)(+3)$

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How do you combine like terms in the $(9 y^{2} - 2 y - 4) + (- 6 y^{2} + y + 7)$ $(9y^{2} - 2y - 4) + ( - 6y^{2} + y + 7)$ ?

1 Answer

Explanation:

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How do you combine like terms in the (9y2−2y−4)+(−6y2+y+7)(9y^{2} - 2y - 4) + ( - 6y^{2} + y + 7)?

1 Answer

Explanation:

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How do you combine like terms in the $(9 y^{2} - 2 y - 4) + (- 6 y^{2} + y + 7)$ $(9y^{2} - 2y - 4) + ( - 6y^{2} + y + 7)$ ?