What is (9x^8-8x^9)((x+1)/x) ?

The solution to (9x^8-8x^9)((x+1)/x) is x^7(9-8x)(x+1)

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simplify (9x^8-8x^9)((x+1)/x)

simplify

(9 x^{8} - 8 x^{9}) (\frac{x + 1}{x})

x^{7} (9 - 8 x) (x + 1)

Solution steps

(9 x^{8} - 8 x^{9}) (\frac{x + 1}{x})

Apply rule:

(a) = a

(\frac{x + 1}{x}) = \frac{x + 1}{x}

= (9 x^{8} - 8 x^{9}) \frac{x + 1}{x}

Apply the fraction rule:

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

= \frac{( 9 x ^{8} - 8 x ^{9} ) ( x + 1 )}{x}

Factor

9 x^{8} - 8 x^{9} : x^{8} (9 - 8 x)

= \frac{x ^{8} ( 9 - 8 x ) ( x + 1 )}{x}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{8} = x x^{7}

= \frac{x x ^{7} ( 9 - 8 x ) ( x + 1 )}{x}

Cancel the common factor:

x

= x^{7} (9 - 8 x) (x + 1)

(\frac{( 1 a )}{4} - \frac{( 1 b )}{2} + \frac{( 1 )}{3})^{2}

\frac{a ^{2} + 1}{( 2 + 3 )}

\frac{lo g _{10} ( n ^{3} )}{lo g _{10} ( n )}

3 b - 2 b + b

3 a + 5 b - 7 a + 11 b + 8 a - 14 b

What is (9x^8-8x^9)((x+1)/x) ?
The solution to (9x^8-8x^9)((x+1)/x) is x^7(9-8x)(x+1)