What is factor 30a*b^2-5a*b^4+60a^3*b^2 ?

The solution to factor 30a*b^2-5a*b^4+60a^3*b^2 is 5ab^2(6-b^2+12a^2)

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factor 30ab^2-5ab^4+60a^3*b^2

factor

30 a \cdot b^{2} - 5 a \cdot b^{4} + 60 a^{3} \cdot b^{2}

5 a b^{2} (6 - b^{2} + 12 a^{2})

Solution steps

30 a b^{2} - 5 a b^{4} + 60 a^{3} b^{2}

Apply exponent rule:

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

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

= 30 a b^{2} - 5 a b^{2} b^{2} + 60 a a^{2} b^{2}

Rewrite

60

12 \cdot 5

Rewrite

30

6 \cdot 5

= 6 \cdot 5 a b^{2} - 5 a b^{2} b^{2} + 12 \cdot 5 a a^{2} b^{2}

Factor out common term

5 a b^{2}

= 5 a b^{2} (6 - b^{2} + 12 a^{2})

5^{5} \cdot 5^{p} \cdot 5^{2 q}

ln ((\frac{x ^{2} + 6}{x ^{3} + 4})^{\frac{3}{2}})

x^{- 3} \cdot (5 + 3 x)

∣ - 6 x + 4 y ∣

\frac{lo g _{10} ( 1 )}{x}

What is factor 30a*b^2-5a*b^4+60a^3*b^2 ?
The solution to factor 30a*b^2-5a*b^4+60a^3*b^2 is 5ab^2(6-b^2+12a^2)