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

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

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factor (y+z)^3+27

factor

(y + z)^{3} + 27

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

Solution steps

(y + z)^{3} + 27

Rewrite

27

3^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Refine

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

y^{2} + 0.4 y - 0.05

l {e^{3 t}}

x y - x z + w y - w z

x^{- 2} - 7 x^{- 1} - 30

sin (tan^{-} (1) (x))

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