Solve 1/75(x-3)^3(x 6)^2 range

Question

Simplify the expression

\frac{12}{25} x^{5} r an - \frac{108}{25} x^{4} r an + \frac{324}{25} x^{3} r an - \frac{324}{25} x^{2} r an

Evaluate

\frac{1}{75} (x - 3)^{3} (x \times 6)^{2} r an

Use the commutative property to reorder the terms

\frac{1}{75} (x - 3)^{3} (6 x)^{2} r an

Simplify

\frac{12}{25} (x - 3)^{3} x^{2} r an

Expand the expression

More Steps

\frac{12}{25} (x^{3} - 9 x^{2} + 27 x - 27) x^{2} r an

Multiply the terms

More Steps

(\frac{12}{25} x^{3} - \frac{108}{25} x^{2} + \frac{324}{25} x - \frac{324}{25}) x^{2} r an

Multiply the terms

More Steps

(\frac{12}{25} x^{5} - \frac{108}{25} x^{4} + \frac{324}{25} x^{3} - \frac{324}{25} x^{2}) r an

Multiply the terms

(\frac{12}{25} x^{5} r - \frac{108}{25} x^{4} r + \frac{324}{25} x^{3} r - \frac{324}{25} x^{2} r) an

Multiply the terms

(\frac{12}{25} x^{5} r a - \frac{108}{25} x^{4} r a + \frac{324}{25} x^{3} r a - \frac{324}{25} x^{2} r a) n

Solution

\frac{12}{25} x^{5} r an - \frac{108}{25} x^{4} r an + \frac{324}{25} x^{3} r an - \frac{324}{25} x^{2} r an

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