What is expand (c(a+bc+a^2b^6c^3))/a ?

The solution to expand (c(a+bc+a^2b^6c^3))/a is c+(c^2b)/a+c^4ab^6

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expand (c(a+bc+a^2b^6c^3))/a

expand

\frac{c ( a + b c + a ^{2} b ^{6} c ^{3} )}{a}

c + \frac{c ^{2} b}{a} + c^{4} a b^{6}

Solution steps

\frac{c ( a + b c + a ^{2} b ^{6} c ^{3} )}{a}

Expand

c (a + b c + a^{2} b^{6} c^{3}) : c a + c^{2} b + c^{4} a^{2} b^{6}

= \frac{c a + c ^{2} b + c ^{4} a ^{2} b ^{6}}{a}

Apply the fraction rule:

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

\frac{c a + c ^{2} b + c ^{4} a ^{2} b ^{6}}{a} = \frac{c a}{a} + \frac{c ^{2} b}{a} + \frac{c ^{4} a ^{2} b ^{6}}{a}

= \frac{c a}{a} + \frac{c ^{2} b}{a} + \frac{c ^{4} a ^{2} b ^{6}}{a}

Cancel

\frac{c a}{a} : c

= c + \frac{c ^{2} b}{a} + \frac{c ^{4} a ^{2} b ^{6}}{a}

Cancel

\frac{c ^{4} a ^{2} b ^{6}}{a} : c^{4} a b^{6}

= c + \frac{c ^{2} b}{a} + c^{4} a b^{6}

(x^{2} + x - 2) (4 x^{3} - 2 x^{2} + 7 x - 11)^{'}

(3 x^{2} y + 6 x) d x

\frac{- 4 x + 1}{5 ( x + 1 ) ( x - 4 )}

C (7, - 5) 3

\frac{9 x ^{2} + 6 x + 12}{( x + 4 ) ( x ^{2} + 6 )}

What is expand (c(a+bc+a^2b^6c^3))/a ?
The solution to expand (c(a+bc+a^2b^6c^3))/a is c+(c^2b)/a+c^4ab^6