Question

(2a+5b)^3 expand pls include all the steps.​

Answer 1

Heya✌

Q u e s t i o n:

${(2a + 5b)}^{3}$

S o l u t i o n:

${(2a + 5b)}^{3} \\ = {(2a)}^{3} + {(5b)}^{3} + 3(2a)(5b)(2a + 5b) \\ = 8 {a}^{3} + 125 {b}^{3} + 30ab(2a + 5b) \\ = 8 {a}^{3} + 125 {b}^{3} + 60 {a}^{2} b + 150a {b}^{2}$

F o r m u l a U s e d:

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

F i n a l A n s w e r = 8a³+125b³+60a²b+150ab²