What is factor 24x^3y^4-18x^2y^5 ?

The solution to factor 24x^3y^4-18x^2y^5 is 6x^2y^4(4x-3y)

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factor 24x^3y^4-18x^2y^5

factor

24 x^{3} y^{4} - 18 x^{2} y^{5}

6 x^{2} y^{4} (4 x - 3 y)

Solution steps

24 x^{3} y^{4} - 18 x^{2} y^{5}

Apply exponent rule:

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

x^{3} y^{4} = x^{2} x y^{4}, x^{2} y^{5} = x^{2} y^{4} y

= 24 x^{2} x y^{4} - 18 x^{2} y^{4} y

Rewrite

- 18

3 \cdot 6

Rewrite

24

4 \cdot 6

= 4 \cdot 6 x^{2} x y^{4} + 3 \cdot 6 x^{2} y^{4} y

Factor out common term

6 x^{2} y^{4}

= 6 x^{2} y^{4} (4 x - 3 y)

x^{2} + 12 x + 36 - 9 y^{2}

(- \frac{4}{5}) - \frac{7}{8}

3 x^{3} - 12 x^{2} - 9 x

16 + 2 \cdot 0.1

(x^{- 5})^{3}

What is factor 24x^3y^4-18x^2y^5 ?
The solution to factor 24x^3y^4-18x^2y^5 is 6x^2y^4(4x-3y)