What is (3w^2+2w-6)-(9+3w^2+7w) ?

The solution to (3w^2+2w-6)-(9+3w^2+7w) is -5w-15

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simplify (3w^2+2w-6)-(9+3w^2+7w)

simplify

(3 w^{2} + 2 w - 6) - (9 + 3 w^{2} + 7 w)

- 5 w - 15

Solution steps

(3 w^{2} + 2 w - 6) - (9 + 3 w^{2} + 7 w)

Apply rule:

(a) = a

(3 w^{2} + 2 w - 6) = 3 w^{2} + 2 w - 6

= 3 w^{2} + 2 w - 6 - (9 + 3 w^{2} + 7 w)

Apply the distributive law:

- (a + b) = - a - b

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

= 3 w^{2} + 2 w - 6 - 9 - 3 w^{2} - 7 w

Group like terms

= 3 w^{2} - 3 w^{2} + 2 w - 7 w - 6 - 9

Add similar elements:

3 w^{2} - 3 w^{2} = 0

= 2 w - 7 w - 6 - 9

Add similar elements:

2 w - 7 w = - 5 w

= - 5 w - 6 - 9

Subtract the numbers:

- 6 - 9 = - 15

= - 5 w - 15

\frac{5 - 2 i}{- 4 - 3 i}

\frac{π ( 16 )}{4}

e^{l n (- 1)}

(5 m^{- 1} n^{2}) (- 3 m^{3} n)

\frac{x - 7}{x ^{2} - 8 x + 7}

What is (3w^2+2w-6)-(9+3w^2+7w) ?
The solution to (3w^2+2w-6)-(9+3w^2+7w) is -5w-15