What is factor 30pia^2b^3-15piab^2+10pib^4 ?

The solution to factor 30pia^2b^3-15piab^2+10pib^4 is 5pib^2(6a^2b-3a+2b^2)

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factor 30pia^2b^3-15piab^2+10pib^4

factor

30 π a^{2} b^{3} - 15 πa b^{2} + 10 π b^{4}

5 π b^{2} (6 a^{2} b - 3 a + 2 b^{2})

Solution steps

30 π a^{2} b^{3} - 15 πa b^{2} + 10 π b^{4}

Apply exponent rule:

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

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

= 30 π b^{2} b - 15 πa b^{2} + 10 π b^{2} b^{2}

Factor out common term

b^{2}

= b^{2} (30 π a^{2} b - 15 πa + 10 π b^{2})

Factor

30 π a^{2} b - 15 πa + 10 π b^{2} : 5 π (6 a^{2} b - 3 a + 2 b^{2})

= 5 π b^{2} (6 a^{2} b - 3 a + 2 b^{2})

64 x^{3} - 144 x^{2} + 92 x - 15

∣ a + 9 ∣ + 2 = 6

8 x - 20 = 3 x + 10

x^{4} - 28 x^{2} + 75

x^{2} - 16 x + 63 = 0

What is factor 30pia^2b^3-15piab^2+10pib^4 ?
The solution to factor 30pia^2b^3-15piab^2+10pib^4 is 5pib^2(6a^2b-3a+2b^2)