Advertisements
Advertisements
प्रश्न
Evaluate the following: 102 × 106
उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[102 \times 106\]
\[ = \left( 100 + 2 \right)\left( 100 + 6 \right)\]
\[ = {100}^2 + \left( 2 + 6 \right)100 + 2 \times 6\]
\[ = 10000 + 800 + 12\]
\[ = 10812\]
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (82)2 − (18)2
Find the value of x, if 4x = (52)2 − (48)2.
Simplify: (2a + 3b + 4c) (4a2 + 9b2 + 16c2 – 6ab – 12bc – 8ca)
By using identity evaluate the following:
73 – 103 + 33
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Simplify:
(pq – qr)2 + 4pq2r
Expand the following, using suitable identities.
`(4/5a + 5/4b)^2`
Expand the following, using suitable identities.
(2x – 5y)(2x – 5y)
Carry out the following division:
–121p3q3r3 ÷ (–11xy2z3)
Match the expressions of column I with that of column II:
| Column I | Column II |
| (1) (21x + 13y)2 | (a) 441x2 – 169y2 |
| (2) (21x – 13y)2 | (b) 441x2 + 169y2 + 546xy |
| (3) (21x – 13y)(21x + 13y) | (c) 441x2 + 169y2 – 546xy |
| (d) 441x2 – 169y2 + 546xy |
