Advertisements
Advertisements
प्रश्न
Simplify:
(s2t + tq2)2 – (2stq)2
Advertisements
उत्तर
We have,
(s2t + tq2)2 – (2stq)2 = (s2t)2 + (tq2)2 + 2 × s2t × tq2 – 4s2t2q2 ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]
= s4t2 + t2q4 + 2s2t2q2 – 4s2t2q2
= s4t2 + t2q4 – 2s2t2q2
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 113 × 87
Simplify the following using the identities: \[\frac{198 \times 198 - 102 \times 102}{96}\]
Find the following product: (y2 + 12) (y2 + 6)
Find the following product: (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]
Simplify: (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
Simplify:
`(3/4x - 4/3y)^2 + 2xy`
Simplify:
(pq – qr)2 + 4pq2r
Expand the following, using suitable identities.
(x2y – xy2)2
Expand the following, using suitable identities.
(2x + 9)(2x – 7)
Using suitable identities, evaluate the following.
47 × 53
