Solve (3m - 4) ^ 2 + 8(3m - 2) | 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

$$(3m-4)^{2}+8(3m-2)$$

Evaluate

$9m^{2}$

Solution Steps

Use binomial theorem $\left(a-b\right)^{2}=a^{2}-2ab+b^{2}$ to expand $\left(3m-4\right)^{2}$.

$$9m^{2}-24m+16+8\left(3m-2\right)$$

Use the distributive property to multiply $8$ by $3m-2$.

$$9m^{2}-24m+16+24m-16$$

Combine $-24m$ and $24m$ to get $0$.

$$9m^{2}+16-16$$

Subtract $16$ from $16$ to get $0$.

$$9m^{2}$$

Expand

$9m^{2}$

Solution Steps

Use binomial theorem $\left(a-b\right)^{2}=a^{2}-2ab+b^{2}$ to expand $\left(3m-4\right)^{2}$.

$$9m^{2}-24m+16+8\left(3m-2\right)$$

Use the distributive property to multiply $8$ by $3m-2$.

$$9m^{2}-24m+16+24m-16$$

Combine $-24m$ and $24m$ to get $0$.

$$9m^{2}+16-16$$

Subtract $16$ from $16$ to get $0$.

$$9m^{2}$$