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Exercise

$\left(3\sqrt{2}x\:-\:3\right)^2$

Step-by-step Solution

1

Multiply $3$ times $-3$

$\left(-9\sqrt{2}\right)^2$
2

The power of a product is equal to the product of it's factors raised to the same power

${\left(-9\right)}^2\cdot \left(\sqrt{2}\right)^2$
3

Cancel exponents $\frac{1}{2}$ and $2$

$2{\left(-9\right)}^2$
4

Calculate the power ${\left(-9\right)}^2$

$81\cdot 2$
5

Multiply $81$ times $2$

$162$

Final answer to the exercise

$162$

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