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

The solution to (-5m^2-8)-(-3m^2+m+2) is -2m^2-m-10

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

simplify

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

- 2 m^{2} - m - 10

Solution steps

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

Apply rule:

(a) = a

(- 5 m^{2} - 8) = - 5 m^{2} - 8

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

Apply the distributive law:

- (- a + b) = a - b

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

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

Group like terms

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

Add similar elements:

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

= - 2 m^{2} - m - 8 - 2

Subtract the numbers:

- 8 - 2 = - 10

= - 2 m^{2} - m - 10

2 x^{2} + 3 x = - 5

\frac{2 x + 23}{5} = 3

48 - 3 x^{2} = 0

n^{2} - 8 n + 12 = 0

\frac{b ^{8}}{b ^{- 3}}

What is (-5m^2-8)-(-3m^2+m+2) ?
The solution to (-5m^2-8)-(-3m^2+m+2) is -2m^2-m-10