What is factor 60ab+48a^2b^3+72a^3b^2 ?

The solution to factor 60ab+48a^2b^3+72a^3b^2 is 12ab(5+4ab^2+6a^2b)

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factor 60ab+48a^2b^3+72a^3b^2

factor

60 ab + 48 a^{2} b^{3} + 72 a^{3} b^{2}

12 ab (5 + 4 a b^{2} + 6 a^{2} b)

Solution steps

60 ab + 48 a^{2} b^{3} + 72 a^{3} b^{2}

Apply exponent rule:

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

a^{2} b^{3} = aab b^{2}, a^{3} b^{2} = a a^{2} bb

= 60 ab + 48 aab b^{2} + 72 a a^{2} bb

Rewrite

72

6 \cdot 12

Rewrite

48

4 \cdot 12

= 5 \cdot 12 ab + 4 \cdot 12 aab b^{2} + 6 \cdot 12 a a^{2} bb

Factor out common term

12 ab

= 12 ab (5 + 4 a b^{2} + 6 a^{2} b)

5 x + 5 y + 5 z

(2 a - 2)^{4}

(3 x^{2} + y)^{5}

(x^{2} y^{- 1}) (x^{- 3} y)^{0}

52 + 72

What is factor 60ab+48a^2b^3+72a^3b^2 ?
The solution to factor 60ab+48a^2b^3+72a^3b^2 is 12ab(5+4ab^2+6a^2b)