Factor completely 16x8 − 1.
(4x4 − 1)(4x4 + 1)
(2x2 − 1)(2x2 + 1)(4x4 + 1)
(2x2 − 1)(2x2 + 1)(2x2 + 1)(2x2 + 1)
(2x2 − 1)(2x2 + 1)(4x4 − 1)

Given:

The given expression is

We need to determine the factor of the given expression.

Factor:

Let us rewrite the given expression.

Thus, we have;

Since, the above expression is of the form , let us apply the identity

Thus, we have;

------ (1)

Now, we shall factor the term

Substituting the above expression in equation (1), we have;

Therefore, the factor of the given expression is

Hence, Option B is the correct answer.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )