What is expand (L^3*cos(q)-sin(q))^2 ?

The solution to expand (L^3*cos(q)-sin(q))^2 is sin^2(q)+L^6cos^2(q)-L^3sin(2q)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (L^3*cos(q)-sin(q))^2

expand

(L^{3} \cdot cos (q) - sin (q))^{2}

sin^{2} (q) + L^{6} cos^{2} (q) - L^{3} sin (2 q)

Solution steps

(L^{3} cos (q) - sin (q))^{2}

Apply Perfect Square Formula:

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

(L^{3} cos (q) - sin (q))^{2} = (L^{3} cos (q))^{2} - 2 L^{3} cos (q) sin (q) + sin^{2} (q)

= (L^{3} cos (q))^{2} - 2 L^{3} cos (q) sin (q) + sin^{2} (q)

Simplify

(L^{3} cos (q))^{2} - 2 L^{3} cos (q) sin (q) + sin^{2} (q) : sin^{2} (q) + L^{6} cos^{2} (q) - L^{3} sin (2 q)

= sin^{2} (q) + L^{6} cos^{2} (q) - L^{3} sin (2 q)

\frac{1}{s ( s - 1 ) ^{2}}

(1 - sec (x)) (sec^{2} (x))

2 (x + i y)^{2}

A (- 3, - 4) B (2, 11)

(1 - a cos (x))^{2}

What is expand (L^3*cos(q)-sin(q))^2 ?
The solution to expand (L^3*cos(q)-sin(q))^2 is sin^2(q)+L^6cos^2(q)-L^3sin(2q)