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Factorize completely; (4x+3y)\(^2\) - (3x-2y)\(^2\) 

Mathematics
JAMB 2008

Factorize completely; (4x+3y)\(^2\) - (3x-2y)\(^2\) 

  • A. (x+5y)(7x+y)
  • B. (x+5y)(7x-y)
  • C. (x-5y)(7x+y)
  • D. (x-5y)(7x-y)
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Correct Answer: Option A
Explanation

(4x+3y)\(^2\) - (3x-2y)\(^2\) 

Using the differences of two squares:

(4x+3y+3x-2y)(4x+3y-(3x-2y))

(4x+3y+3x-2y)(4x+3y-3x+2y)

(x+5y)(7x+y)

There is an explanation video available below.


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Explanation Video

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