Question

Using Pascal’s triangle, determine the first four terms of the expanded expression (x + y)4.

Answer 1

Answer:

$(x+y)^4 =x^4+4x^3y +6x^2y^2+4xy^3+y^4$

Step-by-step explanation:

Given is an algebraic expression raised to power 4

$(x+y)^4$

Let us write 4 rows of Pascal triangle

           1

      1    2    1

1         3    3     1

1    4    6     4    1

Thus we find coefficients as 1,4,6,4,1 and x will be having reduced powers while y will have increasing powers.

Hence expansion would be

$(x+y)^4 =x^4+4x^3y +6x^2y^2+4xy^3+y^4$

Answer 2

X^4+ 4x^3y+6x^2y^2+4xy^3+y4