What is factor (x+y)^3-64 ?

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

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factor (x+y)^3-64

factor

(x + y)^{3} - 64

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

Solution steps

(x + y)^{3} - 64

Rewrite

64

4^{3}

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

Apply Difference 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})

Refine

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

t - 19 = 2

- y^{2} + 3 y + 5 = 0

12 - (- 2)

0 - \frac{5}{2}

\frac{24 m ^{8} n ^{5}}{( - m ^{2} n ) ^{3} + 5 m ^{6} n ^{3}} \cdot (- 3 m n^{4})^{2}

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