Question

Using a suitable identity, determine the value of A) 64m^3- 343n^3

Answer 1

Step-by-step explanation:

${a}^{3} - {b}^{3} = (a - b)(a + b + ab)$

${64}{m}^{3} - {343}{n}^{3} = ({4m})^{3} - ( {7n})^{3} \\( 4m -7n )(16 {m}^{2} + 49 {n}^{2} + 28mn)$