What is factor 16x^6+24x^3y^5+9y^{10} ?

The solution to factor 16x^6+24x^3y^5+9y^{10} is (4x^3+3y^5)^2

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factor 16x^6+24x^3y^5+9y^{10}

factor

16 x^{6} + 24 x^{3} y^{5} + 9 y^{10}

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

Solution steps

16 x^{6} + 24 x^{3} y^{5} + 9 y^{10}

Break the expression into groups

= (16 x^{6} + 12 x^{3} y^{5}) + (12 x^{3} y^{5} + 9 y^{10})

Factor out

4 x^{3}

from

16 x^{6} + 12 x^{3} y^{5} : 4 x^{3} (4 x^{3} + 3 y^{5})

Factor out

3 y^{5}

from

12 x^{3} y^{5} + 9 y^{10} : 3 y^{5} (4 x^{3} + 3 y^{5})

= 4 x^{3} (4 x^{3} + 3 y^{5}) + 3 y^{5} (4 x^{3} + 3 y^{5})

Factor out common term

4 x^{3} + 3 y^{5}

= (4 x^{3} + 3 y^{5}) (4 x^{3} + 3 y^{5})

Apply exponent rule:

aa = a^{2}

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

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

7 s + 8 \geq 3 s - 1

x^{2} + 6 x = 27

x^{2} - 1 \geq - 8

- 3 < \frac{2 x - 1}{4} < 0

200 - 6 x^{2} = 0

What is factor 16x^6+24x^3y^5+9y^{10} ?
The solution to factor 16x^6+24x^3y^5+9y^{10} is (4x^3+3y^5)^2