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2 votes
2 votes
Maths assignment
a^4-16

User Alpants
by
2.4k points

2 Answers

15 votes
15 votes

Explanation:

The difference of squares: a² - b² factors to (a - b) (a + b)

Let x⁴ = (x²)²

Let 16 = 4²

Now by difference of squares x⁴ - 16 factors as (x² - 4)(x² + 4)

The front factor, (x² - 4), can factor by difference of squares again as (x - 2)(x + 2)

User Krishna Prasad
by
3.3k points
12 votes
12 votes

Answer:


a^4-16


\left(a^2\right)^2-4^2


\left(a^2+4\right)\left(a^2-4\right)


=\left(a^2+4\right)\left(a+2\right)\left(a-2\right)

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Hope it helps...

Have a great day!!

User Makoshichi
by
3.3k points