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Factorise (4a + 3) \(^2\) - (3a - 2)\(^2\)

Mathematics
JAMB 2020

Factorise (4a + 3) \(^2\) - (3a - 2)\(^2\)

  • A. (a + 1)(a + 5)
  • B. (a - 5)(7a - 1)
  • C. (a + 5)(7a + 1)
  • D. a(7a + 1)
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Correct Answer: Option C
Explanation

[(4a + 3) \(^2\) - (3a - 2)\(^2\) = a\(^2\) - b\(^2\) = (a + b) (a - b) 

= [(4a + 3) + (3a - 2)] [(4a + 3) - (3a - 2)]

= [4a + 3 + 3a - 2] [4a + 3 - 3a + 2]

= (7a + 1)(a + 5)

(a + 5) (7a + 1) 

There is an explanation video available below.


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Explanation Video

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