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

The solution to expand m(m-4)(m-6)(3m+2) is 3m^4-28m^3+52m^2+48m

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expand m(m-4)(m-6)(3m+2)

expand

m (m - 4) (m - 6) (3 m + 2)

3 m^{4} - 28 m^{3} + 52 m^{2} + 48 m

Solution steps

m (m - 4) (m - 6) (3 m + 2)

Expand

m (m - 4) (m - 6) (3 m + 2) : m (m^{2} - 10 m + 24) (3 m + 2)

= m (m^{2} - 10 m + 24) (3 m + 2)

Expand

m (3 m + 2) : 3 m^{2} + 2 m

= (3 m^{2} + 2 m) (m^{2} - 10 m + 24)

Distribute parentheses

= 3 m^{2} m^{2} + 3 m^{2} (- 10 m) + 3 m^{2} \cdot 24 + 2 m m^{2} + 2 m (- 10 m) + 2 m \cdot 24

Simplify

3 m^{2} m^{2} + 3 m^{2} (- 10 m) + 3 m^{2} \cdot 24 + 2 m m^{2} + 2 m (- 10 m) + 2 m \cdot 24 : 3 m^{4} - 28 m^{3} + 52 m^{2} + 48 m

= 3 m^{4} - 28 m^{3} + 52 m^{2} + 48 m

14 x^{2} + 29 x - 15

- 18 x^{3} + x - 8 x - 5 x - 2 x

81 x^{3} - 3

(16 a b^{2} - 2 c) - (7 c + 11 a b^{2})

(3 + 2 x - x^{2})^{2}

What is expand m(m-4)(m-6)(3m+2) ?
The solution to expand m(m-4)(m-6)(3m+2) is 3m^4-28m^3+52m^2+48m