en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x-3)^3+125

Solution

factor

(x - 3)^{3} + 125

Solution

(x + 2) (x^{2} - 11 x + 49)

Solution steps

(x - 3)^{3} + 125

Rewrite

125

as

5^{3}

= (x - 3)^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

(x - 3)^{3} + 5^{3} = ((x - 3) + 5) ((x - 3)^{2} - 5 (x - 3) + 5^{2})

= ((x - 3) + 5) ((x - 3)^{2} - 5 (x - 3) + 5^{2})

Refine

= (x + 2) ((x - 3)^{2} - 5 (x - 3) + 25)

Expand

(x - 3)^{2} - 5 (x - 3) + 25 : x^{2} - 11 x + 49

= (x + 2) (x^{2} - 11 x + 49)

Popular Examples

factor e^{-2t}u(t)+e^{3t}u(-t)factor

e^{- 2 t} u (t) + e^{3 t} u (- t)

factor x^2-12+35 factor

x^{2} - 12 + 35

factor (a+b)^3-(a-b)^3 factor

(a + b)^{3} - (a - b)^{3}

factor 125a^3+8a^3 factor

125 a^{3} + 8 a^{3}

factor y^3-64a^3b^3 factor

y^{3} - 64 a^{3} b^{3}

Frequently Asked Questions (FAQ)

What is factor (x-3)^3+125 ?
The solution to factor (x-3)^3+125 is (x+2)(x^2-11x+49)