What is expand (cos(x^2+y^2)-1)^2 ?

The solution to expand (cos(x^2+y^2)-1)^2 is cos^2(x^2+y^2)-2cos(x^2+y^2)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (cos(x^2+y^2)-1)^2

expand

(cos (x^{2} + y^{2}) - 1)^{2}

cos^{2} (x^{2} + y^{2}) - 2 cos (x^{2} + y^{2}) + 1

Solution steps

(cos (x^{2} + y^{2}) - 1)^{2}

Apply Perfect Square Formula:

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

(cos (x^{2} + y^{2}) - 1)^{2} = cos^{2} (x^{2} + y^{2}) - 2 cos (x^{2} + y^{2}) \cdot 1 + 1^{2}

= cos^{2} (x^{2} + y^{2}) - 2 cos (x^{2} + y^{2}) \cdot 1 + 1^{2}

Simplify

cos^{2} (x^{2} + y^{2}) - 2 cos (x^{2} + y^{2}) \cdot 1 + 1^{2} : cos^{2} (x^{2} + y^{2}) - 2 cos (x^{2} + y^{2}) + 1

= cos^{2} (x^{2} + y^{2}) - 2 cos (x^{2} + y^{2}) + 1

\frac{d}{d X} ((X Y^{^{'}} + X Y Z)^{^{'}} + X (Y + X Y^{^{'}}))

3 x + 3 + 7 x

x (2 x - 3)

\frac{1}{3} (t - 6) - \frac{1}{3} e^{- 3 (t - 6)}

(\frac{x}{2})^{2}

What is expand (cos(x^2+y^2)-1)^2 ?
The solution to expand (cos(x^2+y^2)-1)^2 is cos^2(x^2+y^2)-2cos(x^2+y^2)+1