What is factor 5/6 a^3b+25a^5b+15/7 a^4b ?

The solution to factor 5/6 a^3b+25a^5b+15/7 a^4b is a^3b(5/6+25a^2+(15a)/7)

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factor 5/6 a^3b+25a^5b+15/7 a^4b

factor

\frac{5}{6} a^{3} b + 25 a^{5} b + \frac{15}{7} a^{4} b

a^{3} b (\frac{5}{6} + 25 a^{2} + \frac{15 a}{7})

Solution steps

\frac{5}{6} a^{3} b + 25 a^{5} b + \frac{15}{7} a^{4} b

Apply exponent rule:

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

a^{5} b = a^{3} a^{2} b, a^{4} b = a^{3} ab

= \frac{5 a ^{3} b}{6} + 25 a^{3} a^{2} b + \frac{15 a ^{3} ab}{7}

Factor out common term

a^{3} b

= a^{3} b (\frac{5}{6} + 25 a^{2} + \frac{15 a}{7})

\frac{6 14}{3 7}

- \frac{π}{2} < x + \frac{π}{6} < \frac{π}{2}

6 x^{2} + 12 x - 18

3. 4^{2}

5 x^{2} = - 3 x + 3

What is factor 5/6 a^3b+25a^5b+15/7 a^4b ?
The solution to factor 5/6 a^3b+25a^5b+15/7 a^4b is a^3b(5/6+25a^2+(15a)/7)