en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor a^x-a^{x+2}

Solution

factor

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

Solution

- a^{x} (a + 1) (a - 1)

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= a^{x} - a^{2} a^{x}

Factor out common term

a^{x}

= a^{x} (1 - a^{2})

Factor

- a^{2} + 1 : - (a + 1) (a - 1)

= a^{x} (- (a + 1) (a - 1))

Refine

= - a^{x} (a + 1) (a - 1)

Popular Examples

factor (x-1)/(1-x^2)factor

\frac{x - 1}{1 - x ^{2}}

[- 10.1]

factor (164sqrt(82)-2)/(243)factor

\frac{164 82 - 2}{243}

factor (x+y)^2-(x+y)-12 factor

(x + y)^{2} - (x + y) - 12

factor 3sqrt(50+2\sqrt{32-\sqrt{2)}}factor

3 50 + 2 32 - 2

Frequently Asked Questions (FAQ)

What is factor a^x-a^{x+2} ?
The solution to factor a^x-a^{x+2} is -a^x(a+1)(a-1)