Solve - 2m(4m ^ 2 - 3m + 2) - 2m(m ^ 2 + 3m) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$-2m(4m^{2}-3m+2)-2m(m^{2}+3m)$$

Evaluate

$-10m^{3}-4m$

Solution Steps

Use the distributive property to multiply $-2m$ by $4m^{2}-3m+2$.

$$-8m^{3}+6m^{2}-4m-2m\left(m^{2}+3m\right)$$

Use the distributive property to multiply $-2m$ by $m^{2}+3m$.

$$-8m^{3}+6m^{2}-4m-2m^{3}-6m^{2}$$

Combine $-8m^{3}$ and $-2m^{3}$ to get $-10m^{3}$.

$$-10m^{3}+6m^{2}-4m-6m^{2}$$

Combine $6m^{2}$ and $-6m^{2}$ to get $0$.

$$-10m^{3}-4m$$

Expand

$-10m^{3}-4m$

Solution Steps

Use the distributive property to multiply $-2m$ by $4m^{2}-3m+2$.

$$-8m^{3}+6m^{2}-4m-2m\left(m^{2}+3m\right)$$

Use the distributive property to multiply $-2m$ by $m^{2}+3m$.

$$-8m^{3}+6m^{2}-4m-2m^{3}-6m^{2}$$

Combine $-8m^{3}$ and $-2m^{3}$ to get $-10m^{3}$.

$$-10m^{3}+6m^{2}-4m-6m^{2}$$

Combine $6m^{2}$ and $-6m^{2}$ to get $0$.

$$-10m^{3}-4m$$