X2 minus; 4x + 4 = (x)2 minus; 2 times; x times; 2 + (2)2 = (x minus; 2)2 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp ...

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Factors of Algebraic Expressions and Factorisation

Factorise:3 x...

Question

Factorise:

(3) x² − 4x + 4

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Solution

x² − 4x + 4
= (x)² − 2 × x × 2 + (2)²
= (x − 2)² [a² − 2ab + b² = (a − b)²]
= (x − 2) (x − 2)
∴ x² − 4x + 4= (x − 2) (x − 2)

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