What is expand (16(t+h)^2-16t)/h ?

The solution to expand (16(t+h)^2-16t)/h is (16t^2)/h+32t+16h-(16t)/h

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (16(t+h)^2-16t)/h

expand

\frac{16 ( t + h ) ^{2} - 16 t}{h}

\frac{16 t ^{2}}{h} + 32 t + 16 h - \frac{16 t}{h}

Solution steps

\frac{16 ( t + h ) ^{2} - 16 t}{h}

(t + h)^{2} = t^{2} + 2 t h + h^{2}

= \frac{16 ( t ^{2} + 2 t h + h ^{2} ) - 16 t}{h}

Expand

16 (t^{2} + 2 t h + h^{2}) - 16 t : 16 t^{2} + 32 t h + 16 h^{2} - 16 t

= \frac{16 t ^{2} + 32 t h + 16 h ^{2} - 16 t}{h}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{16 t ^{2} + 32 t h + 16 h ^{2} - 16 t}{h} = \frac{16 t ^{2}}{h} + \frac{32 t h}{h} + \frac{16 h ^{2}}{h} - \frac{16 t}{h}

= \frac{16 t ^{2}}{h} + \frac{32 t h}{h} + \frac{16 h ^{2}}{h} - \frac{16 t}{h}

Cancel

\frac{32 t h}{h} : 32 t

= \frac{16 t ^{2}}{h} + 32 t + \frac{16 h ^{2}}{h} - \frac{16 t}{h}

Cancel

\frac{16 h ^{2}}{h} : 16 h

= \frac{16 t ^{2}}{h} + 32 t + 16 h - \frac{16 t}{h}

(a x + b) (2 - a y^{'} (x))

e^{\frac{1}{n}} (e - 1)

(3 e^{- 2 t} - 4 e^{- 4 t})^{2}

\frac{x - 6}{( - 2 x + 4 ) ( 5 x + 9 )}

\frac{x ^{2} - 4}{7 ( x ^{2} - 9 )}

What is expand (16(t+h)^2-16t)/h ?
The solution to expand (16(t+h)^2-16t)/h is (16t^2)/h+32t+16h-(16t)/h