What is factor 20x^3y^4-52x^4y^3 ?

The solution to factor 20x^3y^4-52x^4y^3 is 4x^3y^3(5y-13x)

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factor 20x^3y^4-52x^4y^3

factor

20 x^{3} y^{4} - 52 x^{4} y^{3}

4 x^{3} y^{3} (5 y - 13 x)

Solution steps

20 x^{3} y^{4} - 52 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}

= 20 x^{3} y^{3} y - 52 x^{3} x y^{3}

Rewrite

- 52

13 \cdot 4

Rewrite

20

5 \cdot 4

= 5 \cdot 4 x^{3} y^{3} y + 13 \cdot 4 x^{3} x y^{3}

Factor out common term

4 x^{3} y^{3}

= 4 x^{3} y^{3} (5 y - 13 x)

4 ∣ x - 5 ∣ = 20

0.5 x^{2} - x = 0

\frac{10 !}{3 ! ( 7 ! )}

x^{2} - 7 x - 44

\frac{1}{5} m = \frac{1}{60} m + 1

What is factor 20x^3y^4-52x^4y^3 ?
The solution to factor 20x^3y^4-52x^4y^3 is 4x^3y^3(5y-13x)