Factorize \(a^2 - b^2 - 4a + 4\)

Assessment: JAMB UTME - Mathematics - 2015 Subject: General Mathematics

Question 1 Report

(a + b)(a − b)

(a − 2 + b)(a − 2 − b)

(a + 1)(a − 2 + b)

(a + b)2

Answer Details

The trinomial =

a^{2} - 4 a + 4

a^{2} - b^{2} - 4 a + 4 = (a^{2} - 4 a + 4) - b^{2}

(a^{2} - 2 a - 2 a + 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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