What is factor 5t(6t+4)^{-1/2}+6(6t+4)^{1/2} ?

The solution to factor 5t(6t+4)^{-1/2}+6(6t+4)^{1/2} is 2^{-1/2}(3t+2)^{-1/2}(41t+24)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 5t(6t+4)^{-1/2}+6(6t+4)^{1/2}

factor

5 t (6 t + 4)^{- \frac{1}{2}} + 6 (6 t + 4)^{\frac{1}{2}}

2^{- \frac{1}{2}} (3 t + 2)^{- \frac{1}{2}} (41 t + 24)

Solution steps

5 t (6 t + 4)^{- \frac{1}{2}} + 6 (6 t + 4)^{\frac{1}{2}}

Factor out common term

(6 t + 4)^{- \frac{1}{2}} : (6 t + 4)^{- \frac{1}{2}} (5 t + 6 (6 t + 4)^{\frac{1}{2} + \frac{1}{2}})

= (6 t + 4)^{- \frac{1}{2}} (5 t + 6 (6 t + 4)^{\frac{1}{2} + \frac{1}{2}})

Factor

(6 t + 4)^{- \frac{1}{2}} : 2^{- \frac{1}{2}} (3 t + 2)^{- \frac{1}{2}}

= 2^{- \frac{1}{2}} (3 t + 2)^{- \frac{1}{2}} (5 t + 6 (6 t + 4)^{\frac{1}{2} + \frac{1}{2}})

Expand

5 t + 6 (6 t + 4)^{\frac{1}{2} + \frac{1}{2}} : 41 t + 24

= 2^{- \frac{1}{2}} (3 t + 2)^{- \frac{1}{2}} (41 t + 24)

\frac{1}{4} x < (- \frac{3}{2} x + 6) + x

4 x^{2} - 8 x + 4 = 1

(4 x + 3)^{2} = 36

(y - 3) (y + 2) = 0

- 4 x^{2} + 16 x + 84

What is factor 5t(6t+4)^{-1/2}+6(6t+4)^{1/2} ?
The solution to factor 5t(6t+4)^{-1/2}+6(6t+4)^{1/2} is 2^{-1/2}(3t+2)^{-1/2}(41t+24)