What is (9x^2-900)/(6x^3+24x^2-360x)*(x^2+3x-54)/(x-10) ?

The solution to (9x^2-900)/(6x^3+24x^2-360x)*(x^2+3x-54)/(x-10) is (3(x+9))/(2x)

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simplify (9x^2-900)/(6x^3+24x^2-360x)*(x^2+3x-54)/(x-10)

simplify

\frac{9 x ^{2} - 900}{6 x ^{3} + 24 x ^{2} - 360 x} \cdot \frac{x ^{2} + 3 x - 54}{x - 10}

\frac{3 ( x + 9 )}{2 x}

Solution steps

\frac{9 x ^{2} - 900}{6 x ^{3} + 24 x ^{2} - 360 x} \cdot \frac{x ^{2} + 3 x - 54}{x - 10}

Cancel

\frac{9 x ^{2} - 900}{6 x ^{3} + 24 x ^{2} - 360 x} : \frac{3 ( x - 10 )}{2 x ( x - 6 )}

= \frac{3 ( x - 10 )}{2 x ( x - 6 )} \cdot \frac{x ^{2} + 3 x - 54}{x - 10}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{3 ( x - 10 ) ( x ^{2} + 3 x - 54 )}{2 x ( x - 6 ) ( x - 10 )}

Cancel the common factor:

x - 10

= \frac{3 ( x ^{2} + 3 x - 54 )}{2 x ( x - 6 )}

Factor

x^{2} + 3 x - 54 : (x - 6) (x + 9)

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

Cancel the common factor:

x - 6

= \frac{3 ( x + 9 )}{2 x}

\frac{a - b}{a - b}

3 \times 12

(3 w^{- 2})^{4}

\frac{a ^{2} b - a ^{2} c - b ^{3} + b ^{2} c}{ab - b ^{2} - a c + b c}

What is (9x^2-900)/(6x^3+24x^2-360x)*(x^2+3x-54)/(x-10) ?
The solution to (9x^2-900)/(6x^3+24x^2-360x)*(x^2+3x-54)/(x-10) is (3(x+9))/(2x)