What is factor 16a^2b+48a^3+80a^4b+96ab ?

The solution to factor 16a^2b+48a^3+80a^4b+96ab is 16a(ab+3a^2+5a^3b+6b)

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factor 16a^2b+48a^3+80a^4b+96ab

factor

16 a^{2} b + 48 a^{3} + 80 a^{4} b + 96 ab

16 a (ab + 3 a^{2} + 5 a^{3} b + 6 b)

Solution steps

16 a^{2} b + 48 a^{3} + 80 a^{4} b + 96 ab

Apply exponent rule:

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

a^{2} b = aa, a^{3} = a a^{2}, a^{4} b = a a^{3}

= 16 aa + 48 a a^{2} + 80 a a^{3} + 96 ab

Rewrite

96

6 \cdot 16

Rewrite

80

5 \cdot 16

= 16 aa + 3 \cdot 16 a a^{2} + 5 \cdot 16 a a^{3} + 6 \cdot 16 ab

Factor out common term

16 a

= 16 a (ab + 3 a^{2} + 5 a^{3} b + 6 b)

\frac{3 + ( - 2 )}{2}

\frac{9}{3}

(\frac{1}{2})^{2} + 1^{2}

\frac{x ^{3} - 4 x ^{2} + 8 x - 8}{x - 2}

\frac{1}{2} - \frac{1}{2} i

What is factor 16a^2b+48a^3+80a^4b+96ab ?
The solution to factor 16a^2b+48a^3+80a^4b+96ab is 16a(ab+3a^2+5a^3b+6b)