Advertisements
Advertisements
प्रश्न
Evaluate the following: 994 × 1006
Advertisements
उत्तर
Here, we will use the identity \[\left( x - a \right)\left( x + b \right) = x^2 + \left( b - a \right)x - ab\]
\[994 \times 1006\]
\[ = \left( 1000 - 6 \right) \times \left( 1000 + 6 \right)\]
\[ = {1000}^2 + \left( 6 - 6 \right) \times 1000 - 6 \times 6\]
\[ = 1000000 - 36\]
\[ = 999964\]
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (467)2 − (33)2
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Find the following product: (y2 + 12) (y2 + 6)
Evaluate the following: 109 × 107
Expand the following:
(2p + 3)(2p – 4)(2p – 5)
Expand the following:
(3a + 1) (3a – 2) (3a + 4)
Simplify:
(4.5a + 1.5b)2 + (4.5b + 1.5a)2
Expand the following, using suitable identities.
`(4/5a + 5/4b)^2`
Expand the following, using suitable identities.
(0.9p – 0.5q)2
Perform the following division:
(x3y3 + x2y3 – xy4 + xy) ÷ xy
