Advertisements
Advertisements
प्रश्न
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Advertisements
उत्तर
We have,
`(7/9 a + 9/7 b)^2 - ab = (7/9 a)^2 + (9/7 b)^2 + 2 xx 7/9 a xx 9/7 b - ab` ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]
= `49/81 a^2 + 81/49 b^2 + 2ab - ab`
= `49/81 a^2 + ab + 81/49 b^2`
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 1.8 × 2.2
Find the following product: (x + 7) (x − 5)
Find the following product: (x − 3) ( x − 2)
Find the following product: (y2 − 4) (y2 − 3)
Find the following product: (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]
Simplify:
(a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab)
Expand the following, using suitable identities.
(2x + 9)(2x – 7)
Using suitable identities, evaluate the following.
(49)2
Carry out the following division:
17ab2c3 ÷ (–abc2)
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 |
