What is factor x^3y^3+64 ?

The solution to factor x^3y^3+64 is (xy+4)(x^2y^2-4xy+16)

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factor x^3y^3+64

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

\frac{\frac{3 π}{4}}{2}

lo g_{2} (2^{3})

36 m^{2} - 121

(11 + 2 i) - (- 3 + 4 i)

x - 42 = 98 - 9 x

What is factor x^3y^3+64 ?
The solution to factor x^3y^3+64 is (xy+4)(x^2y^2-4xy+16)