FACTORIZA COMPLETAMENTE LA SIGUIENTE EXPRESION ALGEBRAICA.1 - n6 =

Mathematics

1 answer:

jeka57 [31]3 years ago

8 0

Answer:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1).

Step-by-step explanation:

1 - n^6 = (1 - n^3)(1 + n^3)

1 - n^3 = -(n -1)(n^2 + n + 1) and

1 + n^3 = (n + 1)(n^2 - n + 1)

So Substituting we have:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1)

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A bag contains 120 marbles. Some are red and the rest are black.There are 19 red marbles for every black marble.How many red mar

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Step-by-step explanation:

Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)

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3 years ago

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$sin^2(x)cos^2(x)-cos^2(x)\\\\=sin^2(x)\cdot cos^2(x)-1\cdot cos^2(x)\\\\=cos^2(x)\cdot(sin^2(x)-1)\\\\=cos^2(x)\cdot[-(1-sin^2(x)]^{(*)}\\\\=cos^2(x)\cdot[-cos^2(x)]^{(*)}\\\\\boxed{=-cos^4(x)}\\------------------\\(*)\ used:\\\\sin^2(x)+cos^2(x)=1\to cos^2(x)=1-sin^2(x)$