What is 3m(3m+6)-3(m^2+4m+1) ?

The solution to 3m(3m+6)-3(m^2+4m+1) is 6m^2+6m-3

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simplify 3m(3m+6)-3(m^2+4m+1)

simplify

3 m (3 m + 6) - 3 (m^{2} + 4 m + 1)

6 m^{2} + 6 m - 3

Solution steps

3 m (3 m + 6) - 3 (m^{2} + 4 m + 1)

Expand

3 m (3 m + 6) : 9 m^{2} + 18 m

= 9 m^{2} + 18 m - 3 (m^{2} + 4 m + 1)

Expand

- 3 (m^{2} + 4 m + 1) : - 3 m^{2} - 12 m - 3

= 9 m^{2} + 18 m - 3 m^{2} - 12 m - 3

Group like terms

= 9 m^{2} - 3 m^{2} + 18 m - 12 m - 3

Add similar elements:

9 m^{2} - 3 m^{2} = 6 m^{2}

= 6 m^{2} + 18 m - 12 m - 3

Add similar elements:

18 m - 12 m = 6 m

= 6 m^{2} + 6 m - 3

(5 x^{3} y^{- 5}) (4 x y^{3})

∣ - 4 g - 2 ∣ = 10

3 x^{2} + 18 = 0

3 x - 12 > 15

- x^{2} + 2 x + 8

What is 3m(3m+6)-3(m^2+4m+1) ?
The solution to 3m(3m+6)-3(m^2+4m+1) is 6m^2+6m-3