What is factor 1+sin^3(y) ?

The solution to factor 1+sin^3(y) is (sin(y)+1)(sin^2(y)-sin(y)+1)

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factor 1+sin^3(y)

factor

1 + sin^{3} (y)

(sin (y) + 1) (sin^{2} (y) - sin (y) + 1)

Solution steps

1 + sin^{3} (y)

Rewrite

1

1^{3}

= sin^{3} (y) + 1^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

sin^{3} (y) + 1^{3} = (sin (y) + 1) (sin^{2} (y) - sin (y) + 1)

= (sin (y) + 1) (sin^{2} (y) - sin (y) + 1)

(x + y)^{2} + 8 (x + y) + 16

(ab) 4

\frac{x - 8}{x ^{2} - 64}

(tan (y))^{2}

y^{2} d x + 2 x y d y

What is factor 1+sin^3(y) ?
The solution to factor 1+sin^3(y) is (sin(y)+1)(sin^2(y)-sin(y)+1)