Solve 27m ^ 2 + 72mn + 48n ^ 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

$$27m^{2}+72mn+48n^{2}$$

Factor

$3\left(3m+4n\right)^{2}$

Solution Steps

Factor out $3$.

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

Consider $9m^{2}+24mn+16n^{2}$. Use the perfect square formula, $a^{2}+2ab+b^{2}=\left(a+b\right)^{2}$, where $a=3m$ and $b=4n$.

$$\left(3m+4n\right)^{2}$$

Rewrite the complete factored expression.

$$3\left(3m+4n\right)^{2}$$

Evaluate

$3\left(3m+4n\right)^{2}$