What is factor 4u^2v+16uv^2+16v^3 ?

The solution to factor 4u^2v+16uv^2+16v^3 is 4v(u+2v)^2

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factor 4u^2v+16uv^2+16v^3

factor

4 u^{2} v + 16 u v^{2} + 16 v^{3}

4 v (u + 2 v)^{2}

Solution steps

4 u^{2} v + 16 u v^{2} + 16 v^{3}

Factor out common term

4 v : 4 v (u^{2} + 4 uv + 4 v^{2})

= 4 v (u^{2} + 4 uv + 4 v^{2})

Factor

u^{2} + 4 uv + 4 v^{2} : (u + 2 v) (u + 2 v)

= 4 v (u + 2 v) (u + 2 v)

Apply exponent rule:

aa = a^{2}

(u + 2 v) (u + 2 v) = (u + 2 v)^{2}

= 4 v (u + 2 v)^{2}

\frac{6 ^{5}}{6 ^{2}}

x^{2} - 18 x + 80

15 = 2 a + 7

lo g_{0.2} (5 x - 6) > lo g_{0.2} (x^{2})

(x + 4) (x - 1) (5 + x) > 0

What is factor 4u^2v+16uv^2+16v^3 ?
The solution to factor 4u^2v+16uv^2+16v^3 is 4v(u+2v)^2