Advertisements
Advertisements
Question
Simplify:
(s2t + tq2)2 – (2stq)2
Advertisements
Solution
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
RELATED QUESTIONS
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 197 × 203
Find the following product: (x + 7) (x − 5)
Find the following product: (z2 + 2) (z2 − 3)
Evaluate the following: 35 × 37
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(2x + 3)(2x – 5)(2x – 6)
Evaluate the following by using identities:
10013
Multiply the following:
(3x2 + 4x – 8), (2x2 – 4x + 3)
Simplify:
(1.5p + 1.2q)2 – (1.5p – 1.2q)2
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
Using suitable identities, evaluate the following.
47 × 53
