Question

Expand:-
solve it step by step
(x+5y)³​

Answer 1

Answer:

(x+5y)^3

=x^3+3*x^2*5y+3*x*(5y)^2+(5y)^3

=x^3+15x^2y+75xy^2+125y^3

Answer 2

Answer:

(x)³+ 15x^2y+ 75xy^2+  125y³

Step-by-step explanation:

If we expand (a+b)^3, it gives the result= a³+ 3a^2b+ 3ab^2+ b³

Now for (x+5y)³ if we put, a=x and b=5y

a³= (x)³

3a^2b= 3. (x)^2. 5y= 15x^2y

3ab^2= 3.x.(5y)^2= 75xy^2

b³= (5y)^3= 125y³

putting the values of a³, 3a^2b, 3ab^2, and b³ we get-

(x+5y)³​=(x)³+ 15x^2y+ 75xy^2+  125y³