Advertisements
Advertisements
प्रश्न
Evaluate the following: 109 × 107
Advertisements
उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[109 \times 107\]
\[ = \left( 100 + 9 \right)\left( 100 + 7 \right)\]
\[ = {100}^2 + \left( 9 + 7 \right)100 + 9 \times 7\]
\[ = 10000 + 1600 + 63\]
\[ = 11663\]
संबंधित प्रश्न
Find the value of x, if 14x = (47)2 − (33)2.
Find the following product: (x − 11) (x + 4)
Find the following product: (3x2 − 4xy) (3x2 − 3xy)
Evaluate the following: 994 × 1006
Multiply the following:
(2x – 2y – 3), (x + y + 5)
Expand the following, using suitable identities.
`(4/5a + 5/4b)^2`
Expand the following, using suitable identities.
`(4/5p + 5/3q)^2`
Using suitable identities, evaluate the following.
47 × 53
Carry out the following division:
51x3y2z ÷ 17xyz
Perform the following division:
(3pqr – 6p2q2r2) ÷ 3pq
