What is (2m^2-8m+2)-(-3m^2+5m-7) ?

The solution to (2m^2-8m+2)-(-3m^2+5m-7) is 5m^2-13m+9

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simplify (2m^2-8m+2)-(-3m^2+5m-7)

simplify

(2 m^{2} - 8 m + 2) - (- 3 m^{2} + 5 m - 7)

5 m^{2} - 13 m + 9

Solution steps

(2 m^{2} - 8 m + 2) - (- 3 m^{2} + 5 m - 7)

Apply rule:

(a) = a

(2 m^{2} - 8 m + 2) = 2 m^{2} - 8 m + 2

= 2 m^{2} - 8 m + 2 - (- 3 m^{2} + 5 m - 7)

Apply the distributive law:

- (- a + b) = a - b

- (- 3 m^{2} + 5 m - 7) = 3 m^{2} - 5 m + 7

= 2 m^{2} - 8 m + 2 + 3 m^{2} - 5 m + 7

Group like terms

= 2 m^{2} + 3 m^{2} - 8 m - 5 m + 2 + 7

Add similar elements:

2 m^{2} + 3 m^{2} = 5 m^{2}

= 5 m^{2} - 8 m - 5 m + 2 + 7

Add similar elements:

- 8 m - 5 m = - 13 m

= 5 m^{2} - 13 m + 2 + 7

Add the numbers:

2 + 7 = 9

= 5 m^{2} - 13 m + 9

231

2 x + \frac{3 x - 1}{2} - \frac{5 x - 2}{3} = 2

5 x^{2} - 45 y^{2}

(x - 9) (5 x + 9) = 0

a (- a + 40) - 4 (a^{2} - 16) + 1 (- 5 a + 2) = 0

What is (2m^2-8m+2)-(-3m^2+5m-7) ?
The solution to (2m^2-8m+2)-(-3m^2+5m-7) is 5m^2-13m+9