Question

(125a^3-64b^3)÷(5a-4b)

Answer 1

Answer:

$25 {a}^{2} + 20ab + 16 {b}^{2}$

Explanation:

$( {125a}^{3} - 64 {b}^{3} ) \div (5a - 4b) \\ = \frac{ {(5a)}^{3} - {(4b)}^{3} }{5a - 4b} \\ = \frac{(5a - 4b)( {(5a)}^{2} + 5a \times 4b + {(4b)}^{2} )}{5a - 4b} \\ = 25 {a}^{2} + 20ab + 16 {b}^{2}$