What is factor 15sin(x)-8+2sin^2(x) ?

The solution to factor 15sin(x)-8+2sin^2(x) is (2sin(x)-1)(sin(x)+8)

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factor 15sin(x)-8+2sin^2(x)

factor

15 sin (x) - 8 + 2 sin^{2} (x)

(2 sin (x) - 1) (sin (x) + 8)

Solution steps

15 sin (x) - 8 + 2 sin^{2} (x)

Write in the standard form

a x^{2} + b x + c

= 2 sin^{2} (x) + 15 sin (x) - 8

Break the expression into groups

= (2 sin^{2} (x) - sin (x)) + (16 sin (x) - 8)

Factor out

sin (x)

from

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

Factor out

8

from

16 sin (x) - 8 : 8 (2 sin (x) - 1)

= sin (x) (2 sin (x) - 1) + 8 (2 sin (x) - 1)

Factor out common term

2 sin (x) - 1

= (2 sin (x) - 1) (sin (x) + 8)

\frac{820}{820}

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

E (2 X^{2})

(a^{3} + 2 a) + (- a^{2} + 4)

4 x^{2 + 36 x + 81}

What is factor 15sin(x)-8+2sin^2(x) ?
The solution to factor 15sin(x)-8+2sin^2(x) is (2sin(x)-1)(sin(x)+8)