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 identities: \[\frac{{58}^2 - {42}^2}{16}\]
Simplify the following using the identities: \[\frac{198 \times 198 - 102 \times 102}{96}\]
If 2x + 3y = 14 and 2x − 3y = 2, find the value of xy.
[Hint: Use (2x + 3y)2 − (2x − 3y)2 = 24xy]
Evaluate the following by using identities:
983
2p is the factor of 8pq
Simplify:
(3x + 2y)2 – (3x – 2y)2
Expand the following, using suitable identities.
(x + 3)(x + 7)
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
Expand the following, using suitable identities.
(7x + 5)2
Carry out the following division:
51x3y2z ÷ 17xyz
