Question

please help to find out​ the factorization question no 8

Answer 1

Step-by-step explanation:

• x^4+x^2y^2+y^4=0
• (x^2)^2+(y^2)x^2+y^4=0

by using quadratic formula

• a=1,b=y^2,c=y^4
• x^2=-y^2+_√(y^4-4y^4)/2
• x^2=-y^2+_y^2√-3/2
• x^2=(-y^2+iy^2√3)/2,x^2=(-y^2-¡y^2√3)/2
• x^2=y^2(-1+i√3)/2,y^2(-1-i√3)/2
• x=y√(-1+i√3)/√2,x=y√(-1-i√3)/√2

(x-y√(-1+i√3)/√2)(x-y√(-1-i√3)/√2)=0

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