Advertisements
Advertisements
Question
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Advertisements
Solution
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
RELATED QUESTIONS
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 95 × 105
Find the following product: \[\left( x + \frac{4}{3} \right)\left( x + \frac{3}{4} \right)\]
Find the following product: (z2 + 2) (z2 − 3)
Find the following product: (3x − 4y) (2x − 4y)
Find the following product: (3x2 − 4xy) (3x2 − 3xy)
Find the following product: \[\left( x + \frac{1}{5} \right)(x + 5)\]
Evaluate the following: 34 × 36
If (x + y + z) = 9 and (xy + yz + zx) = 26, then find the value of x2 + y2 + z2
Expand the following, using suitable identities.
(2x – 5y)(2x – 5y)
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
