taytay6115 taytay6115
  • 25-07-2018
  • Mathematics
contestada

What is the binomial expansion of (x+y^2)^2

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iCarl
iCarl iCarl
  • 25-07-2018
[tex]\sf Hello![/tex]

[tex]\sf Simplify [/tex] :-

[tex]\sf (x + y^{2})^{2}[/tex]

⇒ [tex]\sf (x)^{2} + 2(x)(y)^{2} + (y^{2})^{2}[/tex]

⇒ [tex]\sf (x)^{2} + 2(x)(y)^{2} + y^{2 × 2}[/tex]

⇒ [tex]\sf x^{2} + 2xy^{2} + y^{4}[/tex]

[tex]\sf Therefore, [/tex]
[tex]\sf Required \: binomial \: expansion \: is\: obtained. [/tex]

~ [tex]\sf iCarl [/tex]
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