dinotheplug dinotheplug
  • 10-04-2017
  • Mathematics
contestada

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

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TreyStewart
TreyStewart TreyStewart
  • 10-04-2017
x^4+ 4x^3y+6x^2y^2+4xy^3+y4
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AlonsoDehner AlonsoDehner
  • 24-09-2019

Answer:

[tex](x+y)^4 =x^4+4x^3y +6x^2y^2+4xy^3+y^4[/tex]

Step-by-step explanation:

Given is an algebraic expression raised to power 4

[tex](x+y)^4\\[/tex]

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

[tex](x+y)^4 =x^4+4x^3y +6x^2y^2+4xy^3+y^4[/tex]

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