Question

Q4) Evaluate:
25^3 – 75^3 + 50^3​

Answer 1

${(25)}^{3} - {(75)}^{3} + {(50)}^{3} \\ \\ = {(25)}^{3} - ( {3}^{3} \times {25}^{3} ) + ( {2}^{3} \times {25}^{3} ) \\ \\ = {(25)}^{3} (1 - {3}^{3} + {2}^{3} ) \\ \\ = - {(25)}^{3} \times 18$