What is factor (x+y)^3+27 ?

The solution to factor (x+y)^3+27 is (x+y+3)((x+y)^2-3(x+y)+9)

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factor (x+y)^3+27

factor

(x + y)^{3} + 27

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

Solution steps

(x + y)^{3} + 27

Rewrite

27

3^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Refine

= (x + y + 3) ((x + y)^{2} - 3 (x + y) + 9)

sin^{2} (2 x + 2 y)

A (- 2.5)

V (3.4)

a x^{2} + b x - a^{2} x - ab

e^{7} - e^{2}

What is factor (x+y)^3+27 ?
The solution to factor (x+y)^3+27 is (x+y+3)((x+y)^2-3(x+y)+9)