What is expand (4+3sin(x))^2 ?

The solution to expand (4+3sin(x))^2 is 16+24sin(x)+9sin^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (4+3sin(x))^2

expand

(4 + 3 sin (x))^{2}

16 + 24 sin (x) + 9 sin^{2} (x)

Solution steps

(4 + 3 sin (x))^{2}

Apply Perfect Square Formula:

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

(4 + 3 sin (x))^{2} = 4^{2} + 2 \cdot 4 \cdot 3 sin (x) + (3 sin (x))^{2}

= 4^{2} + 2 \cdot 4 \cdot 3 sin (x) + (3 sin (x))^{2}

Simplify

4^{2} + 2 \cdot 4 \cdot 3 sin (x) + (3 sin (x))^{2} : 16 + 24 sin (x) + 9 sin^{2} (x)

= 16 + 24 sin (x) + 9 sin^{2} (x)

x^{2} e^{2 x} (3 + 2 x)

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

\frac{5 ( 5 + 65 )}{4}

\frac{( a + b ) ( a - b )}{2 a ( 1 - b )}

x (x + \frac{1}{2}) (x - \frac{1}{2})

What is expand (4+3sin(x))^2 ?
The solution to expand (4+3sin(x))^2 is 16+24sin(x)+9sin^2(x)