Question

factorise 9x square -24xy square +16 y cube

Answer 1

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$9x ^{2} - 24xy + 16y ^{2} \\ \\ we \: apply \: this \: identity \: here \\ \\ (a - b) ^{2} = a ^{2} - 2ab + b ^{2} \\ \\ = (3x) ^{2} - 2 \times 3x \times 4y + (4y) ^{2} \\ \\ = (3x - 4y) ^{2} \\ \\ = (3x - 4y)(3x - 4y)$




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