What is factor x^{15}+64y^3 ?

The solution to factor x^{15}+64y^3 is (x^5+4y)(x^{10}-4x^5y+16y^2)

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factor x^{15}+64y^3

factor

x^{15} + 64 y^{3}

(x^{5} + 4 y) (x^{10} - 4 x^{5} y + 16 y^{2})

Solution steps

x^{15} + 64 y^{3}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

= (x^{5} + 4 y) ((x^{5})^{2} - x^{5} \cdot 4 y + (4 y)^{2})

Simplify

(x^{5})^{2} - x^{5} \cdot 4 y + (4 y)^{2} : x^{10} - 4 x^{5} y + 16 y^{2}

= (x^{5} + 4 y) (x^{10} - 4 x^{5} y + 16 y^{2})

5 \frac{11}{14} + \frac{3}{5}

(2 c + 1) (c - 5)

7 u^{2} t + 5 t^{2} u - 4 t u^{2}

(x - 3) (x - 2) (x - 1)

36 + 64

What is factor x^{15}+64y^3 ?
The solution to factor x^{15}+64y^3 is (x^5+4y)(x^{10}-4x^5y+16y^2)