What is factor (x+y)^3+216 ?

The solution to factor (x+y)^3+216 is (x+y+6)((x+y)^2-6(x+y)+36)

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factor (x+y)^3+216

factor

(x + y)^{3} + 216

(x + y + 6) ((x + y)^{2} - 6 (x + y) + 36)

Solution steps

(x + y)^{3} + 216

Rewrite

216

6^{3}

= (x + y)^{3} + 6^{3}

Apply Sum of Cubes Formula:

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

(x + y)^{3} + 6^{3} = ((x + y) + 6) ((x + y)^{2} - 6 (x + y) + 6^{2})

= ((x + y) + 6) ((x + y)^{2} - 6 (x + y) + 6^{2})

Refine

= (x + y + 6) ((x + y)^{2} - 6 (x + y) + 36)

(x^{3} + 9)^{2} - 4

2 (sin (x))^{2}

(2 x - 3 y)^{2} + 2 (2 x - 3 y) - 35

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

[(a + 3 b) + 4 c] [(a + 3 b) + 9 c]

What is factor (x+y)^3+216 ?
The solution to factor (x+y)^3+216 is (x+y+6)((x+y)^2-6(x+y)+36)