What is factor 15x^3y^5-25x^4y^2+10x^6y^4 ?

The solution to factor 15x^3y^5-25x^4y^2+10x^6y^4 is 5x^3y^2(3y^3-5x+2x^3y^2)

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factor 15x^3y^5-25x^4y^2+10x^6y^4

factor

15 x^{3} y^{5} - 25 x^{4} y^{2} + 10 x^{6} y^{4}

5 x^{3} y^{2} (3 y^{3} - 5 x + 2 x^{3} y^{2})

Solution steps

15 x^{3} y^{5} - 25 x^{4} y^{2} + 10 x^{6} y^{4}

Apply exponent rule:

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

x^{3} y^{5} = x^{3} y^{2} y^{3}, x^{4} y^{2} = x^{3} x y^{2}, x^{6} y^{4} = x^{3} x^{3} y^{2} y^{2}

= 15 x^{3} y^{2} y^{3} - 25 x^{3} x y^{2} + 10 x^{3} x^{3} y^{2} y^{2}

Rewrite

10

2 \cdot 5

Rewrite

- 25

5 \cdot 5

= 3 \cdot 5 x^{3} y^{2} y^{3} + 5 \cdot 5 x^{3} x y^{2} + 2 \cdot 5 x^{3} x^{3} y^{2} y^{2}

Factor out common term

5 x^{3} y^{2}

= 5 x^{3} y^{2} (3 y^{3} - 5 x + 2 x^{3} y^{2})

(1 + \frac{3 k}{n})^{3}

16 a^{3} - 2 b^{3}

∣ x - 2 ∣ \leq 17

x (x + 30) = 300

What is factor 15x^3y^5-25x^4y^2+10x^6y^4 ?
The solution to factor 15x^3y^5-25x^4y^2+10x^6y^4 is 5x^3y^2(3y^3-5x+2x^3y^2)