Advertisements
Advertisements
प्रश्न
Use identities to evaluate : (97)2
Advertisements
उत्तर
(97)2
(97)2 = (100 - 3)2
We know that,
( a - b )2 = a2 + b2 - 2ab
∴ (100 - 3)2 = 1002 + 32 - 2 x 100 x 3
= 10000 + 9 - 600
= 9,409
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(x + 8) (x – 10)
Write the following cube in expanded form:
(2x + 1)3
Without actually calculating the cubes, find the value of the following:
(28)3 + (–15)3 + (–13)3
If x = −2 and y = 1, by using an identity find the value of the following
Find the following product:
(2ab − 3b − 2c) (4a2 + 9b2 +4c2 + 6 ab − 6 bc + 4ca)
If x + y = `7/2 "and xy" =5/2`; find: x - y and x2 - y2
If a2 - 5a - 1 = 0 and a ≠ 0 ; find:
- `a - 1/a`
- `a + 1/a`
- `a^2 - 1/a^2`
Simplify:
(4x + 5y)2 + (4x - 5y)2
Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
Without actually calculating the cubes, find the value of:
(0.2)3 – (0.3)3 + (0.1)3
