What is expand (1-sin(x))^3 ?

The solution to expand (1-sin(x))^3 is 1-3sin(x)+3sin^2(x)-sin^3(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1-sin(x))^3

expand

(1 - sin (x))^{3}

1 - 3 sin (x) + 3 sin^{2} (x) - sin^{3} (x)

Solution steps

(1 - sin (x))^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(1 - sin (x))^{3} = 1^{3} - 3 \cdot 1^{2} sin (x) + 3 \cdot 1 \cdot sin^{2} (x) - sin^{3} (x)

= 1^{3} - 3 \cdot 1^{2} sin (x) + 3 \cdot 1 \cdot sin^{2} (x) - sin^{3} (x)

Simplify

1^{3} - 3 \cdot 1^{2} sin (x) + 3 \cdot 1 \cdot sin^{2} (x) - sin^{3} (x) : 1 - 3 sin (x) + 3 sin^{2} (x) - sin^{3} (x)

= 1 - 3 sin (x) + 3 sin^{2} (x) - sin^{3} (x)

a (1, - 3) y b (5, 6)

e^{t} (e^{t} + t e^{t})

\frac{2 x ^{2} + 9 x - 5}{( x - 1 ) ( x + 2 ) ( x - 3 )}

3 (6 - 3)

3 (6 - 2)

What is expand (1-sin(x))^3 ?
The solution to expand (1-sin(x))^3 is 1-3sin(x)+3sin^2(x)-sin^3(x)