How do you simplify ((p+1)(2p-1)^4)/((p+1)^2(2p-1)^2)?

1 Answer
Apr 15, 2017

((2p-1)^2)/((p+1))

Explanation:

This is just a question of knowing your indice laws.

((p+1)(2p-1)^4)/((p+1)^2(2p-1)^2)

When there is a division of indices with the same base, the indices are subtracted.

For (p+1), it is 1-2 = -1, therefore the (p+1) on the numerator disappears and the one on the denominator stays.

((2p-1)^4)/((p+1)(2p-1)^2)

For (2p-1), it is 4-2=2, therefore the (2p-1) on the denominator disappears and the one on the numerator stays.

((2p-1)^2)/((p+1))