What is factor 2^{2x}+2^x-20 ?

The solution to factor 2^{2x}+2^x-20 is (2^x-4)(2^x+5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 2^{2x}+2^x-20

factor

2^{2 x} + 2^{x} - 20

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

Solution steps

2^{2 x} + 2^{x} - 20

Apply exponent rule:

a^{b c} = (a^{b})^{c}

2^{2 x} = (2^{x})^{2}

= (2^{x})^{2} + 2^{x} - 20

Break the expression into groups

= ((2^{x})^{2} - 4 2^{x}) + (5 2^{x} - 20)

Factor out

2^{x}

from

(2^{x})^{2} - 4 2^{x} : 2^{x} (2^{x} - 4)

Factor out

5

from

5 2^{x} - 20 : 5 (2^{x} - 4)

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

Factor out common term

2^{x} - 4

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

2 π r h + π r^{2}

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

\frac{2 24}{2}

56 x w + 49 x k^{2} - 24 y w - 21 y k^{2}

9 (a - 2)^{2} + 24 (a - 2) + 16

What is factor 2^{2x}+2^x-20 ?
The solution to factor 2^{2x}+2^x-20 is (2^x-4)(2^x+5)