sarahalghannam
sarahalghannam sarahalghannam
  • 09-10-2019
  • Mathematics
contestada

The binomial expansion of (x2 + y)2 is _____

A. x2 + 2xy + y2
B. x + 2x2y+y2
C. x4 + 2x2y+y?
D. x4 + 2x®y+x?y?

Respuesta :

kevinbentch
kevinbentch kevinbentch
  • 11-10-2019

Answer:

There are some unknown characters in the answer list, so am not certain which letter. However, the expansion of (x^2 + y)^2 is:

x^4 + 2yx^2 + y^2.

Note: Am using the carrot - shift 6 - ^ to denote "to the power of".

Step-by-step explanation:

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

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

                  = x^4 + 2yx^2 + y^2

In words the answer is: x to the 4th plus 2 yx squared plus y squared.

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