Question

Factorise 100x^2-27y^2

Answer 1

$100 {x}^{2} - 27 {y}^{2} \\ \\ = ( {10x)}^{2} - ( {3 \sqrt{3}y) }^{2} \\ \\ by \: identity...... \\ {x}^{2} - {y}^{2} = (x - y)(x + y) \\ \\ = (10x - 3 \sqrt{3} )(10x + 3 \sqrt{3} )$

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