Question

On dividing p(4p² – 16) by 4p(p – 2), we get ______.

Options

• 2p + 4

• 2p – 4

• p + 2

• p – 2

Answer 1

On dividing p(4p² – 16) by 4p(p – 2), we get p + 2.

Explanation:

We have,

`(p(4p^2 - 16))/(4p(p - 2)) = (p[(2p)^2 - 4^2])/(4p(p - 2))`

= `((2p - 4)(2p + 4))/(4(p - 2))`  ...[∵ a² – b² = (a + b)(a – b)]

= `(2(p - 2)*2(p + 2))/(4(p - 2))`

= `(4(p - 2)(p + 2))/(4(p - 2))`

= p + 2