What is factor 5a^9b^3+15a^6b^7 ?

The solution to factor 5a^9b^3+15a^6b^7 is 5a^6b^3(a^3+3b^4)

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factor 5a^9b^3+15a^6b^7

factor

5 a^{9} b^{3} + 15 a^{6} b^{7}

5 a^{6} b^{3} (a^{3} + 3 b^{4})

Solution steps

5 a^{9} b^{3} + 15 a^{6} b^{7}

Apply exponent rule:

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

a^{9} b^{3} = a^{6} a^{3} b^{3}, a^{6} b^{7} = a^{6} b^{3} b^{4}

= 5 a^{6} a^{3} b^{3} + 15 a^{6} b^{3} b^{4}

Rewrite

15

3 \cdot 5

= 5 a^{6} a^{3} b^{3} + 3 \cdot 5 a^{6} b^{3} b^{4}

Factor out common term

5 a^{6} b^{3}

= 5 a^{6} b^{3} (a^{3} + 3 b^{4})

\frac{- 6}{5}

\frac{2}{3} \cdot 18

\frac{x ^{15} y ^{9}}{x ^{8} y ^{3}}

\frac{3 x + 22}{5} = 2

\frac{7}{5} + \frac{3}{10} - 7 + \frac{7}{4}

What is factor 5a^9b^3+15a^6b^7 ?
The solution to factor 5a^9b^3+15a^6b^7 is 5a^6b^3(a^3+3b^4)