a + b – c = 0 হলে (a3) + (b3) + 3abc=?

a + b – c = 0 হলে (a³) + (b³) + 3abc=?

A a³

B b³

C c³

Correct Answer: Option C

দেওয়া আছে, a + b – c = 0 হলে, a + b = c
সুতরাং, (a^3) + (b^3) + 3abc
= (a + b)(a^2 – ab + b^2) + 3abc
= (c)(a^2 – ab + b^2) + 3abc

= (c)(a^2 + 2ab + b^2 - 3ab) + 3abc
= (c){(a + b)^2 - 3ab} + 3abc
= (c)(c^2 - 3ab) + 3abc
= c^3 - 3abc + 3abc
= c^3