Advertisements
Advertisements
Question
Using suitable identities, evaluate the following.
104 × 97
Evaluate
Advertisements
Solution
We have,
104 × 97 = (100 + 4)(100 – 3)
= (100)2 + (4 – 3)100 + 4 × (–3) ...[Using the identity, (x + a)(x + b) = x2 + (a + b)x + ab]
= 10000 + 100 – 12
= 10088
shaalaa.com
Is there an error in this question or solution?
Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 233]
APPEARS IN
RELATED QUESTIONS
Expand.
(a + 2) (a − 1)
Expand.
(p + 8) (p − 3)
Expand.
(9x − 5t) (9x + 3t)
Use the Identity (x + a) (x + b) = x2 + (a + b)x + ab to find the following:
95 × 103
Expand (2n – 1)(2n + 3)
Using the identity (x + a)(x + b) = x2 + x(a + b) + ab, find the following product
(6a + 9)(6a – 5)
Using the identity (x + a)(x + b) = x2 + x(a + b) + ab, find the following product
(4x + 3y)(4x + 5y)
Simplify using identities
(3p + q)(3p + r)
Multiply the following:
(x2 – 5x + 6), (2x + 7)
Using suitable identities, evaluate the following.
10.1 × 10.2
