Solve 36(x)^(2)-4xy+1/9(y)^(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

$$36 { x }^{ 2 } -4xy+1/9 { y }^{ 2 }$$

Factor

$\frac{\left(18x-y\right)^{2}}{9}$

Solution Steps

Factor out $\frac{1}{9}$.

$$\frac{324x^{2}-36xy+y^{2}}{9}$$

Consider $324x^{2}-36xy+y^{2}$. Use the perfect square formula, $a^{2}-2ab+b^{2}=\left(a-b\right)^{2}$, where $a=18x$ and $b=y$.

$$\left(18x-y\right)^{2}$$

Rewrite the complete factored expression.

$$\frac{\left(18x-y\right)^{2}}{9}$$

Evaluate

$\frac{\left(18x-y\right)^{2}}{9}$