Solve (a)^(2)-(4)/(3)a+(4)/(9) | 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

$${ a }^{ 2 } - \frac{ 4 }{ 3 } a+ \frac{ 4 }{ 9 }$$

Factor

$\frac{\left(3a-2\right)^{2}}{9}$

Solution Steps

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

$$\frac{9a^{2}-12a+4}{9}$$

Consider $9a^{2}-12a+4$. Use the perfect square formula, $p^{2}-2pq+q^{2}=\left(p-q\right)^{2}$, where $p=3a$ and $q=2$.

$$\left(3a-2\right)^{2}$$

Rewrite the complete factored expression.

$$\frac{\left(3a-2\right)^{2}}{9}$$

Evaluate

$\frac{\left(3a-2\right)^{2}}{9}$