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3 years ago

Find the largest prime divisor of 76^2 − 1.

Mathematics

1 answer:

saveliy_v [14]3 years ago

3 0

Answer:

Step-by-step explanation:

This is a difference of squares and therefore can be written as (76-1)(76+1)=(75)(77).

So lets look at the factors....

75=3(25)=3(5)(5)

77=7(11)

The biggest prime factor is therefore 11.

Identities used:

Difference of squares a^2-b^2=(a-b)(a+b)

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