What is (abc^2+b^2c^3+a^2b^7c^5)/(abc) ?

The solution to (abc^2+b^2c^3+a^2b^7c^5)/(abc) is (c(a+bc+a^2b^6c^3))/a

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simplify (abc^2+b^2c^3+a^2b^7c^5)/(abc)

simplify

\frac{ab c ^{2} + b ^{2} c ^{3} + a ^{2} b ^{7} c ^{5}}{ab c}

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

Solution steps

\frac{ab c ^{2} + b ^{2} c ^{3} + a ^{2} b ^{7} c ^{5}}{ab c}

Factor out common term

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

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

Cancel the common factor:

b

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

Apply exponent rule:

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

c^{2} = cc

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

Cancel the common factor:

c

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

6 0^{3}

x^{4} - 6 x^{3} - 11 x^{2} + 96 x - 80

(3 + 22 + 3 - 22)^{2}

What is (abc^2+b^2c^3+a^2b^7c^5)/(abc) ?
The solution to (abc^2+b^2c^3+a^2b^7c^5)/(abc) is (c(a+bc+a^2b^6c^3))/a