Advertisements
Advertisements
प्रश्न
Show that `(4pq + 3q)^2 - (4pq - 3q)^2 = 48pq^2`
Advertisements
उत्तर
L.H.S = (4pq + 3q)2 - (4pq - 3q)2
= (4pq)2 + 2(4pq)(3q) + (3q)2 = [(4pq)2 - 2(4pq)(3q) +(3q)2]
= 16p2q2 + 24pq2 + 9q2 - [16p2q2 - 24pq2 + 9q2]
= 16p2q2 + 24pq2 + 9q2 - 16p2q2 +24pq2 - 9q2
= 48pq2 = R.H.S
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 1.8 × 2.2
If 2x + 3y = 14 and 2x − 3y = 2, find the value of xy.
[Hint: Use (2x + 3y)2 − (2x − 3y)2 = 24xy]
Find the following product: (3x − 4y) (2x − 4y)
Find the following product: \[\left( x + \frac{1}{5} \right)(x + 5)\]
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(x + 5)(x + 6)(x + 7)
2p is the factor of 8pq
Simplify:
(ab – c)2 + 2abc
Simplify:
(pq – qr)2 + 4pq2r
Expand the following, using suitable identities.
(xy + yz)2
Using suitable identities, evaluate the following.
47 × 53
