Advertisements
Advertisements
प्रश्न
Expand the following, using suitable identities.
`(2/3x - 3/2y)^2`
Advertisements
उत्तर
We have,
`(2/3x - 3/2y)^2 = (2/3 x)^2 + (3/2 y)^2 - 2 xx 2/3 x xx 3/2 y` ...[Using the identity, (a – b)2 = a2 + b2 – 2ab]
= `4/9 x^2 + 9/4 y^2 - 2xy`
APPEARS IN
संबंधित प्रश्न
Simplify the following using the identities: 178 × 178 − 22 × 22
Simplify the following using the identities: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]
Find the value of x, if 14x = (47)2 − (33)2.
Evaluate the following: 34 × 36
Expand the following:
(−p + 2q + 3r)2
Expand the following:
(2p + 3)(2p – 4)(2p – 5)
If (x + y + z) = 9 and (xy + yz + zx) = 26, then find the value of x2 + y2 + z2
By using identity evaluate the following:
73 – 103 + 33
Simplify:
(pq – qr)2 + 4pq2r
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
