How do you combine like terms in $(3 x^{2} - 7 x + 5) - (- 5 x^{2} - 5 x + 2)$ $(3x ^ { 2} - 7x + 5) - ( - 5x ^ { 2} - 5x + 2)$ ?

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How do you combine like terms in $(3 x^{2} - 7 x + 5) - (- 5 x^{2} - 5 x + 2)$ $(3x ^ { 2} - 7x + 5) - ( - 5x ^ { 2} - 5x + 2)$ ?

2 Answers

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Answer 1 · 2018-03-03T00:46:55

$(3 x^{2} - 7 x + 5) - (- 5 x^{2} - 5 x + 2) = 8 x^{2} - 2 x + 3$ $(3x^2-7x+5)-(-5x^2-5x+2)=color(blue)(8x^2-2x+3$

Explanation:

Given:

$(3 x^{2} - 7 x + 5) - (- 5 x^{2} - 5 x + 2)$ $(3x^2-7x+5)-(-5x^2-5x+2)$

Simplify.

$3 x^{2} - 7 x + 5 - (- 5 x^{2} - 5 x + 2)$ $3x^2-7x+5-(-5x^2-5x+2)$

Simplify parentheses.

$3 x^{2} - 7 x + 5 + 5 x^{2} + 5 x - 2$ $3x^2-7x+5+5x^2+5x-2$

Collect like terms.

$(3 x^{2} + 5 x^{2}) + (- 7 x + 5 x) + (5 - 2)$ $(3x^2+5x^2)+(-7x+5x)+(5-2)$

Combine like terms.

$8 x^{2} - 2 x + 3$ $8x^2-2x+3$

Answer 2 · 2018-03-03T01:03:24

$8 x^{2} - 2 x + 3$ $8x^2-2x+3$

Explanation:

First multiply -1 to the second bracket
$- (- 5 x^{2} - 5 x + 2) = 5 x^{2} + 5 x - 2$ $-(-5x^2-5x+2)=5x^2+5x-2$
Then, you can just minus the first bracket by the second bracket
$3 x^{2} + 5 x^{2} - 7 x + 5 x + 5 - 2 = 8 x^{2} - 2 x + 3$ $3x^2+5x^2-7x+5x+5-2=8x^2-2x+3$

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How do you combine like terms in $(3 x^{2} - 7 x + 5) - (- 5 x^{2} - 5 x + 2)$ $(3x ^ { 2} - 7x + 5) - ( - 5x ^ { 2} - 5x + 2)$ ?

2 Answers

Explanation:

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How do you combine like terms in (3x ^ { 2} - 7x + 5) - ( - 5x ^ { 2} - 5x + 2)(3x2−7x+5)−(−5x2−5x+2)(3x ^ { 2} - 7x + 5) - ( - 5x ^ { 2} - 5x + 2)?

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Explanation:

Explanation:

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How do you combine like terms in $(3 x^{2} - 7 x + 5) - (- 5 x^{2} - 5 x + 2)$ $(3x ^ { 2} - 7x + 5) - ( - 5x ^ { 2} - 5x + 2)$ ?