Question

factorize x^4+x^2 y^2+y^2​

Answer 1

Answer:

(x

2

+y

2

+xy)(x

2

+y

2

−x)

B

(x

2

−y

2

+xy)(x

2

+y

2

−xy)

C

(x

2

+y

2

+xy)(x

2

−y

2

−xy)

D

(x

2

+y

2

+xy)(x

2

+y

2

−xy)

Answer 2

Answer:

$x^4+x^2 y^2+y^4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = x^4+2x^2 y^2+y^4 - x^2 {y}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = ({x}^{2} + {y}^{2}) - {(xy) }^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = ({x}^{2} + xy + {y}^{2}) ({x}^{2} - xy + {y}^{2} )$

Step-by-step explanation:

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