What is factor 24xy+25y^2-20x-30y^3 ?

The solution to factor 24xy+25y^2-20x-30y^3 is (6y-5)(4x-5y^2)

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factor 24xy+25y^2-20x-30y^3

factor

24 x y + 25 y^{2} - 20 x - 30 y^{3}

(6 y - 5) (4 x - 5 y^{2})

Solution steps

24 x y + 25 y^{2} - 20 x - 30 y^{3}

Group by common factors

= 24 x y - 20 x - 30 y^{3} + 25 y^{2}

= (24 x y - 20 x) + (- 30 y^{3} + 25 y^{2})

Factor out

4 x

from

24 x y - 20 x : 4 x (6 y - 5)

Factor out

- 5 y^{2}

from

- 30 y^{3} + 25 y^{2} : - 5 y^{2} (6 y - 5)

= 4 x (6 y - 5) - 5 y^{2} (6 y - 5)

Factor out common term

6 y - 5

= (6 y - 5) (4 x - 5 y^{2})

\frac{4 x + 6}{x ^{2} + 5 x + 6} \geq 1

\frac{4}{3} - \frac{2}{4}

9 y - 6 + y + 8 = 42

(x - 4) (x - 3) < 6

8 a^{2} - 72 = 0

What is factor 24xy+25y^2-20x-30y^3 ?
The solution to factor 24xy+25y^2-20x-30y^3 is (6y-5)(4x-5y^2)