What is x^2+x-30*x/(x^2+6x) ?

The solution to x^2+x-30*x/(x^2+6x) is x^2+x-(30)/(x+6)

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simplify x^2+x-30*x/(x^2+6x)

simplify

x^{2} + x - 30 \cdot \frac{x}{x ^{2} + 6 x}

x^{2} + x - \frac{30}{x + 6}

Solution steps

x^{2} + x - 30 \cdot \frac{x}{x ^{2} + 6 x}

Cancel

\frac{x}{x ^{2} + 6 x} : \frac{1}{x + 6}

= x^{2} + x - 30 \cdot \frac{1}{x + 6}

Apply the fraction rule:

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

30 \cdot \frac{1}{x + 6} = \frac{30 \cdot 1}{x + 6}

= x^{2} + x - \frac{30 \cdot 1}{x + 6}

Multiply the numbers:

30 \cdot 1 = 30

= x^{2} + x - \frac{30}{x + 6}

(x + 1) (x^{2} + x + 1) (x - 1) (x^{2} - x + 1) + 1

\frac{1 5 ^{2} \cdot 25 \cdot 49}{3 5 ^{2} \cdot 4 5 ^{2}}

\frac{2}{9} - \frac{4}{15} + 2

\frac{60}{5}

What is x^2+x-30*x/(x^2+6x) ?
The solution to x^2+x-30*x/(x^2+6x) is x^2+x-(30)/(x+6)