Solve 36x ^ 2 + 24xy + 4y ^ 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

$$36x^{2}+24xy+4y^{2}$$

Factor

$4\left(3x+y\right)^{2}$

Solution Steps

Factor out $4$.

$$4\left(9x^{2}+6xy+y^{2}\right)$$

Consider $9x^{2}+6xy+y^{2}$. Use the perfect square formula, $a^{2}+2ab+b^{2}=\left(a+b\right)^{2}$, where $a=3x$ and $b=y$.

$$\left(3x+y\right)^{2}$$

Rewrite the complete factored expression.

$$4\left(3x+y\right)^{2}$$

Evaluate

$4\left(3x+y\right)^{2}$