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Expansion of (x^2 - y^2)

Factorise usi...

Question

Factorise using suitable identity:
${(a - 5)}^{2} - {(a - 8)}^{2}$

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Solution

${(a - 5)}^{2} - {(a - 8)}^{2}$
$= (a - 5 + a - 8) (a - 5 - a + 8)$
$= (2 a - 13) (3)$

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