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Factors of Algebraic Expressions and Factorisation

Factorise:11 ...

Question

Factorise:

(11) a² – 10a + 25

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Solution

a² – 10a + 25
= (a)² – 2 × a × 5 + (5)²
= (a – 5)² [a² – 2ab + b² = (a – b)²]
= (a – 5) (a – 5)
∴ a² – 10a + 25 = (a – 5) (a – 5)

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