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Factorisation by Regrouping Terms

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Question

Factorize each of the following expression:
125x² − 45y²

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Solution

$125 x^{2} - 45 y^{2} = 5 (25 x^{2} - 9 y^{2}) = 5 [(5 x)^{2} - (3 y)^{2}] = 5 (5 x - 3 y) (5 x + 3 y)$

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Factorisation by Regrouping Terms

Standard VIII Mathematics

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