Answer:
(w² + 6)(w² - 6)
Step-by-step explanation:
difference of squares
w⁴ - 36 = (w² + 6)(w² - 6)
Answer:
B
Step-by-step explanation:
This is a quadratic in cosines
Factor by considering the factors of the product 2 × 1 = 2 which sum to give the coefficient of the cos x term (3 )
the factors are + 2 and + 1
use these factors to split the middle term
2cos²x + 2cosx + cosx + 1 = 0 (factor by grouping )
2cosx(cosx + 1) + 1(cosx + 1) = 0 (take out common factor (cosx + 1) )
(cosx + 1)(2cosx + 1) = 0
equate each factor to zero and solve for x
cosx + 1 = 0
cosx = - 1 ⇒ x = π
2cosx + 1 = 0
cosx = - ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
since cosx < 0 then x is in second/ third quadrant
x =
or x = ![\frac{4\pi }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpi%20%7D%7B3%7D)
<span>-4x<-12
4x > 12
x > 3
answer
x > 3 </span>
Answer: 8.
Step-by-step explanation:
Simplify the equation by getting rid of the exponents.
![\frac{(10 * 10) -(100 + (8*8))}{2*2*2}](https://tex.z-dn.net/?f=%5Cfrac%7B%2810%20%2A%2010%29%20-%28100%20%2B%20%288%2A8%29%29%7D%7B2%2A2%2A2%7D)
Which is then simplified to:
, or 64/8. Divide to get your answer.