Advertisements
Advertisements
प्रश्न
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
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
Show that `(4/3 m - 3/4 n)^2 + 2mn = 16/9 m^2 + 9/16 n^2`
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 9.8 × 10.2
Simplify the following using the identities: 178 × 178 − 22 × 22
Simplify the following using the identities: \[\frac{198 \times 198 - 102 \times 102}{96}\]
Simplify the following using the identities: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]
Expand the following:
(3a + 1)(3a – 2)(3a + 4)
Evaluate the following by using identities:
10013
Simplify:
(a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab)
Using suitable identities, evaluate the following.
105 × 95
Carry out the following division:
76x3yz3 ÷ 19x2y2