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

The solution to expand sin(x)(3sin^2(x)+4cos^2(x)) is 3sin^3(x)+4cos^2(x)sin(x)

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

(\frac{1.5 k}{k + 1}) + (\frac{1.5}{( k + 1 ) ( k + 2 )})

(6 x - 11 + 4)^{2}

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

\frac{a ^{2} b ^{2} c ^{2}}{( x - a ) ( x - b ) ( x - c )}

(1 - e^{t})^{2}

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