Advertisements
Advertisements
प्रश्न
Use identities to evaluate : (998)2
Advertisements
उत्तर
(998)2
(998)2 = (1000 - 2)2
We know that
( a - b )2 = a2 + b2 - 2ab
∴ (1000 - 2)2 = 10002 + 22 - 2 x 1000 x 2
= 1000000 + 4 - 4000
= 9,96,004
APPEARS IN
संबंधित प्रश्न
If \[x - \frac{1}{x} = 5\], find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]
If x = −2 and y = 1, by using an identity find the value of the following
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
Evaluate: (2 − z) (15 − z)
Evaluate: (1.6x + 0.7y) (1.6x − 0.7y)
If a - b = 10 and ab = 11; find a + b.
Simplify:
(3a - 7b + 3)(3a - 7b + 5)
If a + b + c = 5 and ab + bc + ca = 10, then prove that a3 + b3 + c3 – 3abc = – 25.
