What is factor 9u^3v^2+18uv^2-3u^3v^5 ?

The solution to factor 9u^3v^2+18uv^2-3u^3v^5 is 3uv^2(3u^2+6-u^2v^3)

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factor 9u^3v^2+18uv^2-3u^3v^5

factor

9 u^{3} v^{2} + 18 u v^{2} - 3 u^{3} v^{5}

3 u v^{2} (3 u^{2} + 6 - u^{2} v^{3})

Solution steps

9 u^{3} v^{2} + 18 u v^{2} - 3 u^{3} v^{5}

Apply exponent rule:

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

u^{3} v^{2} = u u^{2} v^{2}, u^{3} v^{5} = u u^{2} v^{2} v^{3}

= 9 u u^{2} v^{2} + 18 u v^{2} - 3 u u^{2} v^{2} v^{3}

Rewrite

18

6 \cdot 3

Rewrite

9

3 \cdot 3

= 3 \cdot 3 u u^{2} v^{2} + 6 \cdot 3 u v^{2} - 3 u u^{2} v^{2} v^{3}

Factor out common term

3 u v^{2}

= 3 u v^{2} (3 u^{2} + 6 - u^{2} v^{3})

(5 n + 1)^{2} + 2 (5 n + 1) - 3 = 0

81 m^{2} + 48 m

∣ x + 8 ∣ = 4

9^{2} + b^{2} = 1 6^{2}

∣ x ∣ \geq 6

What is factor 9u^3v^2+18uv^2-3u^3v^5 ?
The solution to factor 9u^3v^2+18uv^2-3u^3v^5 is 3uv^2(3u^2+6-u^2v^3)