x2−(y−z)2(x+z)2−y2 + y2−(x−z)2(x+y)2−z2+z2−(x−y)2(y+z)2−x2 is = ?x2−(y−z)2(x+z)2−y2 + y2−(x−z)2(x+y)2−z2+z2−(x−y)2(y+z)2−x2 is = ?\frac{{{x^2} - {{\left( {y - z} \right)}^2}}}{{{{\left( {x + z} \right)}^2} - {y^2}}}{\text{ + }}\frac{{{y^2} - {{\left( {x - z} \right)}^2}}}{{{{\left( {x + y} \right)}^2} - {z^2}}} + \frac{{{z^2} - {{\left( {x - y} \right)}^2}}}{{{{\left( {y + z} \right)}^2} - {x^2}}}{\text{ is = ?}}" /> x2−(y−z)2(x+z)2−y2 + y2−(x−z)2(x+y)2−z2+z2−(x−y)2(y+z)2−x2 is = ?x2−(y−z)2(x+z)2−y2 + y2−(x−z)2(x+y)2−z2+z2−(x−y)2(y+z)2−x2 is = ?\frac{{{x^2} - {{\left( {y - z} \right)}^2}}}{{{{\left( {x + z} \right)}^2} - {y^2}}}{\text{ + }}\frac{{{y^2} - {{\left( {x - z} \right)}^2}}}{{{{\left( {x + y} \right)}^2} - {z^2}}} + \frac{{{z^2} - {{\left( {x - y} \right)}^2}}}{{{{\left( {y + z} \right)}^2} - {x^2}}}{\text{ is = ?}}" /> x2−(y−z)2(x+z)2−y2 + y2−(x−z)2(x+y)2−z2+z2−(x−y)2(y+z)2−x2 is = ?x2−(y−z)2(x+z)2−y2 + y2−(x−z)2(x+y)2−z2+z2−(x−y)2(y+z)2−x2 is = ?\frac{{{x^2} - {{\left( {y - z} \right)}^2}}}{{{{\left( {x + z} \right)}^2} - {y^2}}}{\text{ + }}\frac{{{y^2} - {{\left( {x - z} \right)}^2}}}{{{{\left( {x + y} \right)}^2} - {z^2}}} + \frac{{{z^2} - {{\left( {x - y} \right)}^2}}}{{{{\left( {y + z} \right)}^2} - {x^2}}}{\text{ is = ?}}" />

The value of
x2(yz)2(x+z)2y2 + y2(xz)2(x+y)2z2+z2(xy)2(y+z)2x2 is = ?

  • 1-1
  • 20
  • 31
  • 4None of these
Answer:- 1
Explanation:-

Solution:
Given xepression ,(x+yz)(xy+z)(x+y+z)(x+zy)+(y+xz)(yx+z)(x+y+z)(x+yz)+(z+xy)(zx+y)(y+z+x)(y+zx)=(x+yz)(x+y+z)+(yx+z)(x+y+z)+(xy+z)(x+y+z)=(x+yz)+(yx+z)+(xy+z)(x+y+z)=x+y+zx+y+z=1

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", "text": "The value of
x2(yz)2(x+z)2y2 + y2(xz)2(x+y)2z2+z2(xy)2(y+z)2x2 is = ?
", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "
Solution:
Given xepression ,(x+yz)(xy+z)(x+y+z)(x+zy)+(y+xz)(yx+z)(x+y+z)(x+yz)+(z+xy)(zx+y)(y+z+x)(y+zx)=(x+yz)(x+y+z)+(yx+z)(x+y+z)+(xy+z)(x+y+z)=(x+yz)+(yx+z)+(xy+z)(x+y+z)=x+y+zx+y+z=1
", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "
Solution:
Given xepression ,(x+yz)(xy+z)(x+y+z)(x+zy)+(y+xz)(yx+z)(x+y+z)(x+yz)+(z+xy)(zx+y)(y+z+x)(y+zx)=(x+yz)(x+y+z)+(yx+z)(x+y+z)+(xy+z)(x+y+z)=(x+yz)+(yx+z)+(xy+z)(x+y+z)=x+y+zx+y+z=1
", "dateCreated": "7/24/2019 10:09:12 AM" } }
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