What is factor 15a^2(a+1)^6+20a^5(a+1)^3 ?

The solution to factor 15a^2(a+1)^6+20a^5(a+1)^3 is 5a^2(a+1)^3(7a^3+9a^2+9a+3)

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factor 15a^2(a+1)^6+20a^5(a+1)^3

factor

15 a^{2} (a + 1)^{6} + 20 a^{5} (a + 1)^{3}

5 a^{2} (a + 1)^{3} (7 a^{3} + 9 a^{2} + 9 a + 3)

Solution steps

15 a^{2} (a + 1)^{6} + 20 a^{5} (a + 1)^{3}

Factor out common term

5 a^{2} (a + 1)^{3} : 5 a^{2} (a + 1)^{3} (3 (a + 1)^{3} + 4 a^{3})

= 5 a^{2} (a + 1)^{3} (3 (a + 1)^{3} + 4 a^{3})

Expand

3 (a + 1)^{3} + 4 a^{3} : 7 a^{3} + 9 a^{2} + 9 a + 3

= 5 a^{2} (a + 1)^{3} (7 a^{3} + 9 a^{2} + 9 a + 3)

x^{2} - 7 x - 25 = 0

2 - 3 x < - 14

\frac{3 - 5 i}{7 + 2 i}

\frac{245 m ^{3} n}{320 m ^{3} n ^{5}}

\frac{100}{1} = \frac{x}{\frac{3}{2}} \cdot 5466313

What is factor 15a^2(a+1)^6+20a^5(a+1)^3 ?
The solution to factor 15a^2(a+1)^6+20a^5(a+1)^3 is 5a^2(a+1)^3(7a^3+9a^2+9a+3)