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Mama L [17]
3 years ago
14

Factor completely x^8-1/81

Mathematics
1 answer:
boyakko [2]3 years ago
3 0
Remember the difference of 2 perfect squares
(a²-b²)=(a-b)(a+b)
1/81=(1/9)²
so
x⁸=(x⁴)²

x⁸-1/81=(x⁴)²-(1/9)²=(x⁴-1/9)(x⁴+1/9)
oh look, 1/9=(1/3)²
x⁴=(x²)²
we can factor that first one again
x⁴-1/9=(x²)²-(1/3)²=(x²-1/3)(x²+1/3)

so factored completely is (x²-1/3)(x²+1/3)(x⁴+1/9)
you could go further and force taht first term to be another difference by doing 1/3=(√(1/3))², but I wouldn't


(x²-1/3)(x²+1/3)(x⁴+1/9) is factored


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Answer:

the percent change is -94 %

Step-by-step explanation:

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Hope this helped!

6 0
3 years ago
Fiona is pricing two bicycles one is 175 with 10% and the other is 225 with 35% off which bicycle can she afford if she has 150
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If the one for $175 is 10% off, that means Fiana pays 90% of the price

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225 * 0.65 = $146.25

She CAN afford the bike for $225
5 0
3 years ago
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Mila [183]
I’m not an expert at this but my guess is 45 degrees. Can you let me know what the correct answer was?
6 0
3 years ago
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Answer:

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7 0
3 years ago
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4 0
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