Advertisements
Advertisements
प्रश्न
Simplify:
`(3/4x - 4/3y)^2 + 2xy`
Advertisements
उत्तर
We have,
`(3/4x - 4/3y)^2 + 2xy = (3/4x)^2 + (4/3y)^2 - 2 xx 3/4x xx 4/3y + 2xy` ...[Using the identity, (a – b)2 = a2 + b2 – 2ab]
= `9/16x^2 + 16/9y^2 - 2xy + 2xy`
= `9/16x^2 + 16/9y^2`
APPEARS IN
संबंधित प्रश्न
Show that (9p - 5q)2 + 180pq = (9p + 5q)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 95 × 105
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Simplify the following using the identities: 178 × 178 − 22 × 22
Find the value of x, if 14x = (47)2 − (33)2.
Find the following product: (x − 3) ( x − 2)
Find the following product: \[\left( x + \frac{4}{3} \right)\left( x + \frac{3}{4} \right)\]
Simplify:
(1.5p + 1.2q)2 – (1.5p – 1.2q)2
Expand the following, using suitable identities.
`(2/3x - 3/2y)^2`
Perform the following division:
(3pqr – 6p2q2r2) ÷ 3pq
