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Simplify: (2p - q)\(^2\) - (p + q)\(^2\)

Mathematics
WAEC 2024

Simplify: (2p - q)\(^2\) - (p + q)\(^2\)

  • A. 3p(p - 2q)
  • B. 2p(p - 3q)
  • C. 3p(2p - q)
  • D. 2p(3p - q)
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Correct Answer: Option A
Explanation

(2p - q)\(^2\) - (p + q)\(^2\) 

Using the difference of two squares

(2p - q)\(^2\) - (p + q)\(^2\)  = ( 2p - q + p + q)(2p - q - (p + q))

= 3p(2p - q - p - q) = 3p(p - 2q)


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