Factorize a 2 b 2 4a 4 - JAMB Mathematics 2024 Question
Factorize ( a^2 − b^2 − 4a + 4 )
A
(a + b)(a − b)
B
(a − 2 + b)
C
(a + 1)(a − 2 + b)
D
(a + b) 2
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Correct Option: C
The given expression is \(a^2 - b^2 - 4a + 4\). We can factor it as follows:
\(a^2 - b^2 - 4a + 4 = (a - 2)^2 - b^2\)
Now, apply the difference of squares formula: \((x^2 - y^2) = (x - y)(x + y)\):
\( (a - 2 - b)(a - 2 + b)\).
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