Question

factorise:125xcube-343ycube

Answer 1

Heya ✋

Let see your answer !!!!

$(125x )^{3} - (343y) ^{3} \\ we \: apply \: this \: identity \: here \\ a ^{3} - b ^{3} = (a - b)(a ^{2} + \\ ab + b ^{2}) \\ = > (5x) ^{3} - (7y) ^{3} \\ = > (5x - 7y)((5x) ^{2} + 5x \\ \times 7y + (7y) ^{2}) \\ = > (5x - 4y)(25x ^{2} + 35xy + \\ 49y ^{2})$
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