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Factorize a 2 b 2 4a 4 - JAMB Mathematics 2015 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: B

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 ))

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