Question

Explain, in complete sentences, how you would factor 400x8 – 36.

Answer 1

First, look for any factors in common between the terms.

Answer 2

36 is not quite divisible by 8.

Answer 3

Those are from 36, and 400 doesn't have any multiples of 3, so that leaves....

Answer 4

No, 4. We're looking for common factors.

Answer 5

400X^8-36= 4{ 100X^8 - 9}} = 4{ ( 10X^4)2 - 3^2} = 4( 10X^4+3)( 10X^4-3)