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