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Polynomials

Factorise:4 n...

Question

Factorise:

(4) n² − 2mn + m²

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Solution

n² − 2mn + m²
= (n)² − 2 × n × m + (m)²
= (n − m)² [a² − 2ab + b² = (a − b)²]
= (n − m) (n − m)
∴ n² − 2mn + m² = (n − m) (n − m)

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