en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (z+4)^3-64

Solution

factor

(z + 4)^{3} - 64

Solution

z (z^{2} + 12 z + 48)

Solution steps

(z + 4)^{3} - 64

Rewrite

64

as

4^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Refine

= z ((z + 4)^{2} + 4 (z + 4) + 16)

Expand

(z + 4)^{2} + 4 (z + 4) + 16 : z^{2} + 12 z + 48

= z (z^{2} + 12 z + 48)

Popular Examples

factor e^2-e(2)factor

e^{2} - e (2)

factor 1+100+0/(0.0004)factor

1 + 100 + \frac{0}{0.0004}

factor pi+(-0.35383)factor

π + (- 0.35383)

n^{(2)} + n + 42

factor sqrt(40-6\sqrt{5)}factor

40 - 65

Frequently Asked Questions (FAQ)

What is factor (z+4)^3-64 ?
The solution to factor (z+4)^3-64 is z(z^2+12z+48)