(x⁴ + 2x²y² + y⁴) (x²+ y²)
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Answer:
x^10+2x^4y^2+2x^2y^4+y^12
Step-by-step explanation:
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(a+b)^2=a^2+b^2+2 ab
x^4+2x^2y^2+y^2=[x^2+y^2]^2
[x^2+y*2]^2 (x^2+y^2)
=[x^2+y^2]^3=
(a+b)^3= a^3+3a^2b+3ab^2+b^3
=(x^6+3x^4y^2+3x^2y^4+y^6
x^4+2x^2y^2+y^2=[x^2+y^2]^2
[x^2+y*2]^2 (x^2+y^2)
=[x^2+y^2]^3=
(a+b)^3= a^3+3a^2b+3ab^2+b^3
=(x^6+3x^4y^2+3x^2y^4+y^6
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