What is factor 75b^2*c^3+60b*c^6 ?

The solution to factor 75b^2*c^3+60b*c^6 is 15bc^3(5b+4c^3)

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factor 75b^2c^3+60bc^6

factor

75 b^{2} \cdot c^{3} + 60 b \cdot c^{6}

15 b c^{3} (5 b + 4 c^{3})

Solution steps

75 b^{2} c^{3} + 60 b c^{6}

Apply exponent rule:

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

b^{2} c^{3} = bb c^{3}, b c^{6} = b c^{3} c^{3}

= 75 bb c^{3} + 60 b c^{3} c^{3}

Rewrite

60

4 \cdot 15

Rewrite

75

5 \cdot 15

= 5 \cdot 15 bb c^{3} + 4 \cdot 15 b c^{3} c^{3}

Factor out common term

15 b c^{3}

= 15 b c^{3} (5 b + 4 c^{3})

1 x + 3 x

\frac{4}{3 x ^{n + 1} \cdot x ^{2} x y}

4 x^{2} + 8 x^{2} y

\frac{[ ( x - y ) ^{- 3} ] ^{n}}{[ ( x + y ) ^{n} ] ^{3}}

(a + b)^{- 3}

What is factor 75b^2*c^3+60b*c^6 ?
The solution to factor 75b^2*c^3+60b*c^6 is 15bc^3(5b+4c^3)