Question

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2. Factorise
@ 125m^3- 512n^3 – 600m^2n
+960 mn^2?​

Answer 1

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• Factorise the polynomial.

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$125 {m}^{3} - 512 {n}^{3} - 600 {m}^{2} n + 960m {n}^{2}$

$= {(5m)}^{3} - {(8n)}^{3} - 3 \times {(5m)}^{2} \times 8n - 3 \times 5m \times {(8n)}^{2}$

$= {(5m - 8n)}^{3}$

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• ${(5m - 8n)}^{3}$