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

The solution to expand (sin(x)+2)^3 is sin^3(x)+6sin^2(x)+12sin(x)+8

Popular >

expand (sin(x)+2)^3

expand

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

sin^{3} (x) + 6 sin^{2} (x) + 12 sin (x) + 8

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

sin^{3} (x) + 3 sin^{2} (x) \cdot 2 + 3 sin (x) \cdot 2^{2} + 2^{3} : sin^{3} (x) + 6 sin^{2} (x) + 12 sin (x) + 8

= sin^{3} (x) + 6 sin^{2} (x) + 12 sin (x) + 8

(x + i y)^{3} + 2 i (x + i y)^{2} + 5 (x + i y) + 2

2 (x + 2)

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

\frac{( x + 2 ) ( 4 x - 1 ) ^{2}}{x ^{3}}

(x^{2} + 5) (1 - x)

What is expand (sin(x)+2)^3 ?
The solution to expand (sin(x)+2)^3 is sin^3(x)+6sin^2(x)+12sin(x)+8