Class 8 Exam > Class 8 Questions > Simplify: (xy+yz)2−(xy−yz)2a)4xy2...
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Simplify: (xy + yz)2− (xy − yz)2
- a)4xy2
- b)4xy2z
- c)4xz
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Simplify: (xy+yz)2−(xy−yz)2a)4xy2b)4xy2zc)4xzd)None of the...
(xy+yz)²-(xy-yz)²
xy² +yz² +2.xy.yz -(xy²+yz²-2xy.yz)
(xy)² +(yz)² +2xy²z -[(xy)² +(yz)² -2xy²z
(xy)² +(yz)² +2xy²z -(xy²)-(yz)² + 2xy²z
Cancelled (xy)² +(yz)² and -(xy²)-(yz)².
2xy²z+ 2xy²z
=> 4xy²z
Hence, Value of (xy + yz)² – (xy – yz)² => 4xy²z
Note;-
(a+b)²-(a-b)² = 4ab
xy² +yz² +2.xy.yz -(xy²+yz²-2xy.yz)
(xy)² +(yz)² +2xy²z -[(xy)² +(yz)² -2xy²z
(xy)² +(yz)² +2xy²z -(xy²)-(yz)² + 2xy²z
Cancelled (xy)² +(yz)² and -(xy²)-(yz)².
2xy²z+ 2xy²z
=> 4xy²z
Hence, Value of (xy + yz)² – (xy – yz)² => 4xy²z
Note;-
(a+b)²-(a-b)² = 4ab
Most Upvoted Answer
Simplify: (xy+yz)2−(xy−yz)2a)4xy2b)4xy2zc)4xzd)None of the...
To simplify the expression (xy yz)2, we need to apply the exponent to each term inside the parentheses.
(xy yz)2 = (x2y2z2)
Therefore, (xy yz)2 simplifies to x2y2z2.
(xy yz)2 = (x2y2z2)
Therefore, (xy yz)2 simplifies to x2y2z2.
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Community Answer
Simplify: (xy+yz)2−(xy−yz)2a)4xy2b)4xy2zc)4xzd)None of the...
4xy²z
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