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: (79)2 − (69)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 95 × 105
Find the value of x, if 4x = (52)2 − (48)2.
If 2x + 3y = 14 and 2x − 3y = 2, find the value of xy.
[Hint: Use (2x + 3y)2 − (2x − 3y)2 = 24xy]
Find the following product: (2x2 − 3) (2x2 + 5)
Find the following product: (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]
Expand the following:
(−p + 2q + 3r)2
Simplify: (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
Expand the following, using suitable identities.
`((4x)/5 + y/4)((4x)/5 + (3y)/4)`
Using suitable identities, evaluate the following.
105 × 95
