Solve (x^2-2x)(2 x-2)-9(2x-2)/x^2-2x

Question

Simplify the expression

\frac{2 x ^{5} - 6 x ^{4} + 2 x ^{3} - 18 x + 18}{x ^{2}}

Evaluate

(x^{2} - 2 x) (2 x - 2) - (9 \times \frac{2 x - 2}{x ^{2}}) - 2 x

Multiply the terms

(x^{2} - 2 x) (2 x - 2) - \frac{9 ( 2 x - 2 )}{x ^{2}} - 2 x

Expand the expression

More Steps

2 x^{3} - 6 x^{2} + 4 x - \frac{9 ( 2 x - 2 )}{x ^{2}} - 2 x

Subtract the terms

More Steps

2 x^{3} - 6 x^{2} + 2 x - \frac{9 ( 2 x - 2 )}{x ^{2}}

Reduce fractions to a common denominator

\frac{2 x ^{3} \times x ^{2}}{x ^{2}} - \frac{6 x ^{2} \times x ^{2}}{x ^{2}} + \frac{2 x \times x ^{2}}{x ^{2}} - \frac{9 ( 2 x - 2 )}{x ^{2}}

Write all numerators above the common denominator

\frac{2 x ^{3} \times x ^{2} - 6 x ^{2} \times x ^{2} + 2 x \times x ^{2} - 9 ( 2 x - 2 )}{x ^{2}}

Multiply the terms

More Steps

\frac{2 x ^{5} - 6 x ^{2} \times x ^{2} + 2 x \times x ^{2} - 9 ( 2 x - 2 )}{x ^{2}}

Multiply the terms

More Steps

\frac{2 x ^{5} - 6 x ^{4} + 2 x \times x ^{2} - 9 ( 2 x - 2 )}{x ^{2}}

Multiply the terms

More Steps

\frac{2 x ^{5} - 6 x ^{4} + 2 x ^{3} - 9 ( 2 x - 2 )}{x ^{2}}

Multiply the terms

More Steps

\frac{2 x ^{5} - 6 x ^{4} + 2 x ^{3} - ( 18 x - 18 )}{x ^{2}}

Solution

\frac{2 x ^{5} - 6 x ^{4} + 2 x ^{3} - 18 x + 18}{x ^{2}}

Show Solution

x = 0

Show Solution