Advertisements
Advertisements
प्रश्न
Evaluate the following: 994 × 1006
Advertisements
उत्तर
Here, we will use the identity \[\left( x - a \right)\left( x + b \right) = x^2 + \left( b - a \right)x - ab\]
\[994 \times 1006\]
\[ = \left( 1000 - 6 \right) \times \left( 1000 + 6 \right)\]
\[ = {1000}^2 + \left( 6 - 6 \right) \times 1000 - 6 \times 6\]
\[ = 1000000 - 36\]
\[ = 999964\]
संबंधित प्रश्न
Show that (a - b)(a + b) + (b - c) (b + c) + (c - a) (c + a) = 0
Find the following product: (x + 7) (x − 5)
Find the following product: (z2 + 2) (z2 − 3)
Find the following product: (x2 + 4) (x2 + 9)
Expand the following:
(3a + 1) (3a – 2) (3a + 4)
Evaluate the following by using identities:
10013
By using identity evaluate the following:
`1 + 1/8 - 27/8`
If 2x – 3y – 4z = 0, then find 8x3 – 27y3 – 64z3
Simplify:
(s2t + tq2)2 – (2stq)2
Using suitable identities, evaluate the following.
(1005)2
