What is (2m-3+7m^2)-(3-9m^2-2m) ?

The solution to (2m-3+7m^2)-(3-9m^2-2m) is 16m^2+4m-6

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simplify (2m-3+7m^2)-(3-9m^2-2m)

simplify

(2 m - 3 + 7 m^{2}) - (3 - 9 m^{2} - 2 m)

16 m^{2} + 4 m - 6

Solution steps

(2 m - 3 + 7 m^{2}) - (3 - 9 m^{2} - 2 m)

Apply rule:

(a) = a

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

= 2 m - 3 + 7 m^{2} - (3 - 9 m^{2} - 2 m)

Apply the distributive law:

- (a - b) = - a + b

- (3 - 9 m^{2} - 2 m) = - 3 + 9 m^{2} + 2 m

= 2 m - 3 + 7 m^{2} - 3 + 9 m^{2} + 2 m

Group like terms

= 7 m^{2} + 9 m^{2} + 2 m + 2 m - 3 - 3

Add similar elements:

7 m^{2} + 9 m^{2} = 16 m^{2}

= 16 m^{2} + 2 m + 2 m - 3 - 3

Add similar elements:

2 m + 2 m = 4 m

= 16 m^{2} + 4 m - 3 - 3

Subtract the numbers:

- 3 - 3 = - 6

= 16 m^{2} + 4 m - 6

2 x - 1 \geq 0

\frac{( \frac{1}{x} - \frac{1}{2} )}{x - 2}

x^{2} - 3 x - 8 = 0

16 m^{4} - 25 m^{2} n^{2} + 9 n^{4}

49 x^{16} - 16 y^{64}

What is (2m-3+7m^2)-(3-9m^2-2m) ?
The solution to (2m-3+7m^2)-(3-9m^2-2m) is 16m^2+4m-6