Question
Simplify:
(xy+yz)2−(xy−yz)2
(xy+yz)2−(xy−yz)2
Answer: Option B
:
B
Usingthe identity,
(a+b)2=a2+b2+2ab,
we get,
(xy+yz)2=x2y2+y2z2+2xzy2...(1)
Using the identity,
(a−b)2=a2+b2−2ab
we get,
(xy−yz)2=x2y2+y2z2−2xzy2...(2)
Subtracting (2) from (1), we get
(x2y2+y2z2+2xzy2)−(x2y2+y2z2−2xzy2)
=2xzy2+2xzy2
=4xy2z
Was this answer helpful ?
:
B
Usingthe identity,
(a+b)2=a2+b2+2ab,
we get,
(xy+yz)2=x2y2+y2z2+2xzy2...(1)
Using the identity,
(a−b)2=a2+b2−2ab
we get,
(xy−yz)2=x2y2+y2z2−2xzy2...(2)
Subtracting (2) from (1), we get
(x2y2+y2z2+2xzy2)−(x2y2+y2z2−2xzy2)
=2xzy2+2xzy2
=4xy2z
Was this answer helpful ?
More Questions on This Topic :
Question 1. Find the sum of
(11x2−8x+4) and (6x2+7x−10).....
Question 4. The numerical factor of a term is known as....
Question 5. Simplify (3x2+5y2)(4xy−5y).....
Question 8. Using an identity expand :
(2y+5)(2y+5)....
Latest Videos
Latest Test Papers
Submit Solution