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Factorize \( a^2 − b^2 − 4a + 4 \)

Mathematics
JAMB 2015

Factorize \( a^2 − b^2 − 4a + 4 \)

  • A. (a + b)(a − b)
  • B. (a − 2 + b)(a - 2- b)
  • C. (a + 1)(a − 2 + b)
  • D. (a + b) 2
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Correct Answer: Option B
Explanation

The trinomial = \( a^2 − 4a + 4 \\

a^2 − b^2− 4a + 4 = (a^2 − 4a + 4) − b^2 \\

(a^2 − 2a − 2a + 4) − b^2 \\

a(a − 2)− 2(a − 2)] − b^2 \\

(a − 2)2 − b^2 \\

(a − 2 + b)(a − 2 − b )\)

There is an explanation video available below.


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Explanation Video

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