Math, asked by starlet12357starlets, 10 hours ago

find the product (x^2+y^2+z^2)(x+y+z) please reply fast​

Answers

Answered by ElishaS
0

Answer:

x  

2

=y+z,y  

2

=x+z,z  

2

=x+y⟶1

1+x

1

+  

1+y

1

+  

1+z

1

 

=  

1+x

1+x−x

+  

1+y

1+y−y

+  

1+z

1+z−z

 

=1−  

1+x

x

+1  

1+y

y

+1−  

1+z

z

 

=3−(  

x+x  

2

 

x  

2

 

+  

y+y  

2

 

y  

2

 

+  

z+z  

2

 

z  

2

 

)

( Multiplied numerator and denominator byx,y and z in the 3 terms )

=3−(  

x+y+z

y+z

+  

x+y+z

z+x

+  

x+y+z

x+y

)

=3−2  

(x+y+z)

(x+y+z)

 

=3−2

=1

Step-by-step explanation:

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Answered by palneeta1984
0

Answer:

x³+xy²+xz²+y³+yx²+yz²+z³+zx²

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