Advertisements
Advertisements
प्रश्न
Simplify:
(pq – qr)2 + 4pq2r
Advertisements
उत्तर
We have,
(pq – qr)2 + 4pq2r = p2q2 + q2r2 – 2pq2r + 4pq2r ...[Using the identity, (a – b)2 = a2 + b2 – 2ab]
= p2q2 + q2r2 + 2pq2r
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: (82)2 − (18)2
Simplify the following using the identities: \[\frac{198 \times 198 - 102 \times 102}{96}\]
Find the value of x, if 5x = (50)2 − (40)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: \[\left( z + \frac{3}{4} \right)\left( z + \frac{4}{3} \right)\]
Evaluate the following: 102 × 106
Simplify: (2a + 3b + 4c) (4a2 + 9b2 + 16c2 – 6ab – 12bc – 8ca)
Simplify:
`(3/4x - 4/3y)^2 + 2xy`
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
