Question

How do you expand `(x + 3)^6` using Pascal’s Triangle?

Answer 1

In the expansion of `(x+y)^6` = `x^6 + 6x^5 y +15x^4 y^2 + 20 x^3 y^3 + 15 x^2 y^4 +6x y^5 +y^6`, put y=3 to get the required answer.

Explanation:

The 6th row of the Pascal triangle would give the coefficients of the expansion of `(x+y)^6`. The expansion is `x^6 + 6x^5 y +15x^4 y^2 + 20 x^3 y^3 + 15 x^2 y^4 +6x y^5 +y^6`.

In this expansion put y=3 to get the expansion `(x+3)^6`