What is factor 4cos^4(x)+cos^2(x)-3 ?

The solution to factor 4cos^4(x)+cos^2(x)-3 is (4cos^2(x)-3)(cos^2(x)+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 4cos^4(x)+cos^2(x)-3

factor

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

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

Solution steps

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

Let

u = cos^{2} (x)

= 4 u^{2} + u - 3

Factor

4 u^{2} + u - 3 : (4 u - 3) (u + 1)

= (4 u - 3) (u + 1)

Substitute back

u = cos^{2} (x)

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

\frac{1}{2} x^{2} - 18

4 x^{6} - 2 x^{3} + 0.25

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

e^{5 x} \cdot (6 t \cdot sin (6 x))

arccsc (x^{2} - 1)

What is factor 4cos^4(x)+cos^2(x)-3 ?
The solution to factor 4cos^4(x)+cos^2(x)-3 is (4cos^2(x)-3)(cos^2(x)+1)