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

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

Popular >

expand (1-sin^2(x))^3

expand

(1 - sin^{2} (x))^{3}

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

Solution steps

(1 - sin^{2} (x))^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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

l imh \Rightarrow 0 (8 + h) 13 - 2 h

\frac{2 cos ( x )}{( 1 - sin ( x ) ) ^{2}}

ln (\frac{x - 73}{x})

\frac{( n ) ( n + 1 ) ( 2 n + 1 )}{6}

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