Advertisements
Advertisements
Question
Evaluate the following: 103 × 96
Advertisements
Solution
Here, we will use the identity
\[\left( x + a \right)\left( x - b \right) = x^2 + \left( a - b \right)x - ab\]
\[103 \times 96\]
\[ = \left( 100 + 3 \right)\left( 100 - 4 \right)\]
\[ = {100}^2 + \left( 3 - 4 \right)100 - 3 \times 4\]
\[ = 10000 - 100 - 12\]
\[ = 9888\]
RELATED QUESTIONS
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Simplify the following using the identities: 1.73 × 1.73 − 0.27 × 0.27
Find the following product: (x2 + 4) (x2 + 9)
By using identity evaluate the following:
`1 + 1/8 - 27/8`
2p is the factor of 8pq
Expand the following, using suitable identities.
`(4/5a + 5/4b)^2`
Expand the following, using suitable identities.
`(4/5p + 5/3q)^2`
Carry out the following division:
51x3y2z ÷ 17xyz
Carry out the following division:
17ab2c3 ÷ (–abc2)
Carry out the following division:
–121p3q3r3 ÷ (–11xy2z3)
