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 identities: \[\frac{{58}^2 - {42}^2}{16}\]
Simplify the following using the identities: 1.73 × 1.73 − 0.27 × 0.27
Find the value of x, if 5x = (50)2 − (40)2.
Find the following product: (2x2 − 3) (2x2 + 5)
Find the following product: (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]
Evaluate the following by using identities:
10013
Expand the following, using suitable identities.
`((2x)/3 - 2/3)((2x)/3 + (2a)/3)`
Using suitable identities, evaluate the following.
(98)2
Using suitable identities, evaluate the following.
52 × 53
Match the expressions of column I with that of column II:
| Column I | Column II |
| (1) (21x + 13y)2 | (a) 441x2 – 169y2 |
| (2) (21x – 13y)2 | (b) 441x2 + 169y2 + 546xy |
| (3) (21x – 13y)(21x + 13y) | (c) 441x2 + 169y2 – 546xy |
| (d) 441x2 – 169y2 + 546xy |
