What is factor 4^{2x}-2(4^x)-8 ?

The solution to factor 4^{2x}-2(4^x)-8 is (4^x+2)(4^x-4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 4^{2x}-2(4^x)-8

factor

4^{2 x} - 2 (4^{x}) - 8

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

Solution steps

4^{2 x} - 2 (4^{x}) - 8

Apply exponent rule:

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

4^{2 x} = (4^{x})^{2}

= (4^{x})^{2} - 2 (4^{x}) - 8

Write in the standard form

a x^{2} + b x + c

= (4^{x})^{2} - 2 4^{x} - 8

Break the expression into groups

= ((4^{x})^{2} + 2 4^{x}) + (- 4 4^{x} - 8)

Factor out

4^{x}

from

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

Factor out

- 4

from

- 4 4^{x} - 8 : - 4 (4^{x} + 2)

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

Factor out common term

4^{x} + 2

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

\frac{( x - 1 ) ( 3 - x )}{( x - 2 ) ^{2}} \leq 0

x^{4} - 13 x^{2} + 36 < 0

∣ 5 x - 1 ∣ = 2

(2 x + 3) (x - 3) > (x - 1) (3 x + 2)

x^{2} - 7 x - 11 = 0

What is factor 4^{2x}-2(4^x)-8 ?
The solution to factor 4^{2x}-2(4^x)-8 is (4^x+2)(4^x-4)