Advertisements
Advertisements
Question
Evaluate the following: 103 × 96
Solution
Here, we will use the identity
\[\left( x + a \right)\left( x - b \right) = x^2 + \left( a - b \right)x - ab\]
\[103 \times 96\]
\[ = \left( 100 + 3 \right)\left( 100 - 4 \right)\]
\[ = {100}^2 + \left( 3 - 4 \right)100 - 3 \times 4\]
\[ = 10000 - 100 - 12\]
\[ = 9888\]
APPEARS IN
RELATED QUESTIONS
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: (467)2 − (33)2
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Simplify the following using the identities: \[\frac{198 \times 198 - 102 \times 102}{96}\]
Find the following product: (y2 + 12) (y2 + 6)
Evaluate the following: 102 × 106
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(x + 5)(x + 6)(x + 7)
Simplify:
(x2 – 4) + (x2 + 4) + 16
Expand the following, using suitable identities.
`(2/3x - 3/2y)^2`
Expand the following, using suitable identities.
(2x + 9)(2x – 7)
