Math, asked by priyansupriyabrata, 22 hours ago

One of the factors of xy(z²+ 1) + z(x² + y²) can be​

Answers

Answered by 31aliahmedzahidshaik
1

Answer:

Given : xy(z

2

+1)+z(x

2

+y

2

).

Factorizing the above :

⇒xyz

2

+xy+zx

2

+zy

2

⇒xyz

2

+zx

2

+xy+zy

2

⇒xz(yz+x)+y(yz+x)

⇒(xz+y)(yz+x)

Answered by vaibhavdantkale65
0

Answer:

Given : xy(z

2

+1)+z(x

2

+y

2

).

Factorizing the above :

⇒xyz

2

+xy+zx

2

+zy

2

⇒xyz

2

+zx

2

+xy+zy

2

⇒xz(yz+x)+y(yz+x)

⇒(xz+y)(yz+x)

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