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igor_vitrenko [27]
3 years ago
5

PLEASE HELP!!!!! Factor completely 16x8 − 1

Mathematics
2 answers:
Stolb23 [73]3 years ago
7 0

Answer:

the answer is (2x² - 1)(2x² + 1)(4x^{4} + 1 )

Step-by-step explanation:

Delvig [45]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

This is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

16x^{8} = ( 4x^{4} )² ⇒ a = 4x^{4}

1 = 1² ⇒ b = 1

Hence

16x^{8} - 1

= (4x^{4} )² - 1²

= (4x^{4} - 1)(4x^{4} + 1)

4x^{4} - 1 ← is also a difference of squares and factors as

(2x² - 1)(2x² + 1)

Thus

16x^{8} - 1

= (2x² - 1)(2x² + 1)(4x^{4} + 1 )

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Hope this helps!
5 0
3 years ago
Which function will have a y-intercept at –1 and an amplitude of 2?
Angelina_Jolie [31]

Answer:

Options B and D.

Step-by-step explanation:

The general form of sine function

h(x)=A\sin (Bx+C)+D

where, |A| is amplitude, \frac{2\pi}{B} is period, \frac{-C}{B} is phase shift and D is y-intercept.

The general form of cosine function

h(x)=A\cos (Bx+C)+D

where, |A| is amplitude, \frac{2\pi}{B} is period, \frac{-C}{B} is phase shift and D is y-intercept.

In function, f(x)=-\sin x-1

Amplitude : |A|=1

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y-intercept : -1

In function, f(x)=-\cos x

Amplitude : |A|=1

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4 0
3 years ago
Read 2 more answers
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(b) sixteen is the answer

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3 years ago
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