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Popular >

factor (z-4)^3+125

Solution

factor

(z - 4)^{3} + 125

Solution

(z + 1) (z^{2} - 13 z + 61)

Solution steps

(z - 4)^{3} + 125

Rewrite

125

as

5^{3}

= (z - 4)^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

(z - 4)^{3} + 5^{3} = ((z - 4) + 5) ((z - 4)^{2} - 5 (z - 4) + 5^{2})

= ((z - 4) + 5) ((z - 4)^{2} - 5 (z - 4) + 5^{2})

Refine

= (z + 1) ((z - 4)^{2} - 5 (z - 4) + 25)

Expand

(z - 4)^{2} - 5 (z - 4) + 25 : z^{2} - 13 z + 61

= (z + 1) (z^{2} - 13 z + 61)

Popular Examples

factor (x+4)+(3x^2)factor

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

factor 24+5(1-4x)-(1-4x)^2 factor

24 + 5 (1 - 4 x) - (1 - 4 x)^{2}

factor-5(ln(5))+5ln(2)factor

- 5 (ln (5)) + 5 ln (2)

d/(dt)((q)(-12e^{-2t}))

\frac{d}{d t} ((q) (- 12 e^{- 2 t}))

factor (x-5)^2+(y+6)^2 factor

(x - 5)^{2} + (y + 6)^{2}

Frequently Asked Questions (FAQ)

What is factor (z-4)^3+125 ?
The solution to factor (z-4)^3+125 is (z+1)(z^2-13z+61)