What is expand 4(1+sin^2(3x))^3 ?

The solution to expand 4(1+sin^2(3x))^3 is 4+12sin^2(3x)+12sin^4(3x)+4sin^6(3x)

Popular >

expand 4(1+sin^2(3x))^3

expand

4 (1 + sin^{2} (3 x))^{3}

4 + 12 sin^{2} (3 x) + 12 sin^{4} (3 x) + 4 sin^{6} (3 x)

Solution steps

4 (1 + sin^{2} (3 x))^{3}

Expand

(1 + sin^{2} (3 x))^{3} : 1 + 3 sin^{2} (3 x) + 3 sin^{4} (3 x) + sin^{6} (3 x)

= 4 (1 + 3 sin^{2} (3 x) + 3 sin^{4} (3 x) + sin^{6} (3 x))

Distribute parentheses

= 4 \cdot 1 + 4 \cdot 3 sin^{2} (3 x) + 4 \cdot 3 sin^{4} (3 x) + 4 sin^{6} (3 x)

Simplify

4 \cdot 1 + 4 \cdot 3 sin^{2} (3 x) + 4 \cdot 3 sin^{4} (3 x) + 4 sin^{6} (3 x) : 4 + 12 sin^{2} (3 x) + 12 sin^{4} (3 x) + 4 sin^{6} (3 x)

= 4 + 12 sin^{2} (3 x) + 12 sin^{4} (3 x) + 4 sin^{6} (3 x)

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

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

(x - 4 - 3)^{2}

\frac{x}{( x + 4 ) ^{2}}

\frac{( 56 + r ) \times ( 9 + r )}{2}

What is expand 4(1+sin^2(3x))^3 ?
The solution to expand 4(1+sin^2(3x))^3 is 4+12sin^2(3x)+12sin^4(3x)+4sin^6(3x)