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

The solution to 2m(3m-4)+m(m-1) is 7m^2-9m

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

simplify

2 m (3 m - 4) + m (m - 1)

7 m^{2} - 9 m

Solution steps

2 m (3 m - 4) + m (m - 1)

Expand

2 m (3 m - 4) : 6 m^{2} - 8 m

= 6 m^{2} - 8 m + m (m - 1)

Expand

m (m - 1) : m^{2} - m

= 6 m^{2} - 8 m + m^{2} - m

Group like terms

= 6 m^{2} + m^{2} - 8 m - m

Add similar elements:

6 m^{2} + m^{2} = 7 m^{2}

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

Add similar elements:

- 8 m - m = - 9 m

= 7 m^{2} - 9 m

5^{4} \cdot 5^{- 3}

(\frac{2 x ^{3}}{3 y ^{5} z})^{3}

6 (a + 2 b + 3 c)

(1 + cos (2 x))^{3}

12 x^{2} - 9 x + 15