What is factor 5x^{10}y^5-10x^7y^8-25x^{11}y^9 ?

The solution to factor 5x^{10}y^5-10x^7y^8-25x^{11}y^9 is 5x^7y^5(x^3-2y^3-5x^4y^4)

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factor 5x^{10}y^5-10x^7y^8-25x^{11}y^9

factor

5 x^{10} y^{5} - 10 x^{7} y^{8} - 25 x^{11} y^{9}

5 x^{7} y^{5} (x^{3} - 2 y^{3} - 5 x^{4} y^{4})

Solution steps

5 x^{10} y^{5} - 10 x^{7} y^{8} - 25 x^{11} y^{9}

Apply exponent rule:

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

x^{10} y^{5} = x^{7} x^{3} y^{5}, x^{7} y^{8} = x^{7} y^{5} y^{3}, x^{11} y^{9} = x^{7} x^{4} y^{5} y^{4}

= 5 x^{7} x^{3} y^{5} - 10 x^{7} y^{5} y^{3} - 25 x^{7} x^{4} y^{5} y^{4}

Rewrite

- 25

5 \cdot 5

Rewrite

- 10

2 \cdot 5

= 5 x^{7} x^{3} y^{5} + 2 \cdot 5 x^{7} y^{5} y^{3} + 5 \cdot 5 x^{7} x^{4} y^{5} y^{4}

Factor out common term

5 x^{7} y^{5}

= 5 x^{7} y^{5} (x^{3} - 2 y^{3} - 5 x^{4} y^{4})

(1 + sin (x)) (1 - sin (x))

\frac{cos ( x )}{cot ( x )}

cos^{2} (4 x) + sin^{2} (4 x)

\frac{100.15 - 500.05}{2.5938 \cdot \frac{1}{20} + \frac{1}{20}}

\frac{5}{3 x} \cdot \frac{6 x}{5 x + 10}

What is factor 5x^{10}y^5-10x^7y^8-25x^{11}y^9 ?
The solution to factor 5x^{10}y^5-10x^7y^8-25x^{11}y^9 is 5x^7y^5(x^3-2y^3-5x^4y^4)