What is factor 18x^3y^4-39x^4y^3 ?

The solution to factor 18x^3y^4-39x^4y^3 is 3x^3y^3(6y-13x)

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factor 18x^3y^4-39x^4y^3

factor

18 x^{3} y^{4} - 39 x^{4} y^{3}

3 x^{3} y^{3} (6 y - 13 x)

Solution steps

18 x^{3} y^{4} - 39 x^{4} y^{3}

Apply exponent rule:

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

x^{3} y^{4} = x^{3} y^{3} y, x^{4} y^{3} = x^{3} x y^{3}

= 18 x^{3} y^{3} y - 39 x^{3} x y^{3}

Rewrite

- 39

13 \cdot 3

Rewrite

18

6 \cdot 3

= 6 \cdot 3 x^{3} y^{3} y + 13 \cdot 3 x^{3} x y^{3}

Factor out common term

3 x^{3} y^{3}

= 3 x^{3} y^{3} (6 y - 13 x)

- 5 x + 1 - 2 (x + 1) = 4 x + 6

64 x^{3} - 100 x

11 x - 6 = 14 + x

\frac{4}{9} - 1

20 x^{2} - 17 x - 10 = 0

What is factor 18x^3y^4-39x^4y^3 ?
The solution to factor 18x^3y^4-39x^4y^3 is 3x^3y^3(6y-13x)