Factorize a² − b² − 4a + 4

Correct Answer is : (a − 2 + b)(a - 2- b)

Factorize a² − b² − 4a + 4

Correct Answer is : (a − 2 + b)(a - 2- b)

Test Index

JAMB Mathematics 2015 Paper

Question : 61

Total: 61

Factorize

a^2 − b^2 − 4a + 4

(a + b)(a − b)
(a − 2 + b)(a - 2- b)
(a + 1)(a − 2 + b)
(a + b) 2

Validate

Solution:

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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