What is factor-42a^2b^3+36a^3b^4+18a^4b^4 ?

The solution to factor-42a^2b^3+36a^3b^4+18a^4b^4 is 6a^2b^3(-7+6ab+3a^2b)

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factor-42a^2b^3+36a^3b^4+18a^4b^4

factor

- 42 a^{2} b^{3} + 36 a^{3} b^{4} + 18 a^{4} b^{4}

6 a^{2} b^{3} (- 7 + 6 ab + 3 a^{2} b)

Solution steps

- 42 a^{2} b^{3} + 36 a^{3} b^{4} + 18 a^{4} b^{4}

Apply exponent rule:

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

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

= - 42 a^{2} b^{3} + 36 a^{2} a b^{3} b + 18 a^{2} a^{2} b^{3} b

Rewrite

18

3 \cdot 6

Rewrite

36

6 \cdot 6

= 7 \cdot 6 a^{2} b^{3} + 6 \cdot 6 a^{2} a b^{3} b + 3 \cdot 6 a^{2} a^{2} b^{3} b

Factor out common term

6 a^{2} b^{3}

= 6 a^{2} b^{3} (- 7 + 6 ab + 3 a^{2} b)

2 x^{2} + 5 x = 1

1 0^{2} + x^{2} = 2 6^{2}

x^{2} + 9 x + 4 = 0

6 x^{2} + 3 x - 1 = 0

2 (x - 3) - 4 x > 8

What is factor-42a^2b^3+36a^3b^4+18a^4b^4 ?
The solution to factor-42a^2b^3+36a^3b^4+18a^4b^4 is 6a^2b^3(-7+6ab+3a^2b)