Advertisements
Advertisements
प्रश्न
Show that (9p - 5q)2 + 180pq = (9p + 5q)2
Advertisements
उत्तर
L.H.S = (9p − 5q)2 + 180pq
= (9p)2 − 2(9p)(5q) + (5q)2 − 180pq
= 81p2 − 90pq + 25q2 + 180pq
= 81p2 + 90pq + 25q2
R.H.S = (9p + 5q)2
= (9p)2 + 2(9p)(5q) + (5q)2
= 81p2 + 90pq + 25q2
L.H.S = R.H.S
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 113 × 87
Find the following product: (x + 4) (x + 7)
Find the following product: (x − 3) ( x − 2)
Find the following product: \[\left( y^2 + \frac{5}{7} \right)\left( y^2 - \frac{14}{5} \right)\]
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(2x + 3)(2x – 5)(2x – 6)
Expand the following, using suitable identities.
`((2x)/3 - 2/3)((2x)/3 + (2a)/3)`
Expand the following, using suitable identities.
(a2 + b2)2
Using suitable identities, evaluate the following.
47 × 53
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
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 |
