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Phoenix [80]
3 years ago
12

What is the completely factored form of t4 − 16?

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0

we know that

A difference of squares problem can be factored as follows:

a^{2}-b^{2} =(a+b)(a-b)

in this problem we have

t^{4}-16

Applying difference of squares

t^{4}-16=(t^{2}-4)( t^{2}+4)

the term

(t^{2}-4)=(t+2)(t-2)

substitute

(t^{2}-4)( t^{2}+4)=(t+2)(t-2)( t^{2}+4)

therefore

<u>the answer is</u>

(t+2)(t-2)( t^{2}+4)

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