Question

( 2 - 5n )³ factorise it.

options :

1. 8 - 125n³ + 60n - 150n²
2. 8 - 60n + 150n³ - 125n³
3. 8 - 20n + 150n³ - 125n³
4. 8 - 60n + 50n³ - 125n³
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Answer 1

Step-by-step explanation:

${(2 - 5n)}^{3} \\ {(2)}^{3 } - 3 \times {2}^{2} \times 5n + 3 \times 2 \times {(5n)}^{2} - {(5n)}^{3} \\ 8 - 60n + 6 \times 25 {n}^{2} - 125 {n}^{3} \\ 8 - 60n + 150 {n}^{2} - 125 {n}^{3}$

Hope it helps