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
Show that (a - b)(a + b) + (b - c) (b + c) + (c - a) (c + a) = 0
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 1.8 × 2.2
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Evaluate the following: 35 × 37
Expand the following:
(−p + 2q + 3r)2
Evaluate the following by using identities:
10013
By using identity evaluate the following:
`1 + 1/8 - 27/8`
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Simplify:
(1.5p + 1.2q)2 – (1.5p – 1.2q)2
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
