Advertisements
Advertisements
प्रश्न
Use suitable identity to find the following product:
(3 – 2x) (3 + 2x)
उत्तर
By using the identity (x + y)(x – y) = x2 – y2,
(3 – 2x) (3 + 2x) = (3)2 – (2x)2
= 9 – 4x2
APPEARS IN
संबंधित प्रश्न
Factorise the following:
8a3 – b3 – 12a2b + 6ab2
If x + y + z = 0, show that x3 + y3 + z3 = 3xyz.
Evaluate the following using identities:
117 x 83
Simplify the following: 175 x 175 x 2 x 175 x 25 x 25 x 25
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
Simplify the following products:
`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`
Simplify the expression:
`(x + y + z)^2 + (x + y/2 + 2/3)^2 - (x/2 + y/3 + z/4)^2`
Evaluate of the following:
463+343
Find the value of 27x3 + 8y3, if 3x + 2y = 20 and xy = \[\frac{14}{9}\]
Find the following product:
If a − b = 5 and ab = 12, find the value of a2 + b2
If \[3x + \frac{2}{x} = 7\] , then \[\left( 9 x^2 - \frac{4}{x^2} \right) =\]
Use identities to evaluate : (101)2
Use identities to evaluate : (998)2
Evalute : `((2x)/7 - (7y)/4)^2`
The difference between two positive numbers is 5 and the sum of their squares is 73. Find the product of these numbers.
Evaluate: (9 − y) (7 + y)
Evaluate the following without multiplying:
(999)2
Simplify:
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
Without actually calculating the cubes, find the value of:
(0.2)3 – (0.3)3 + (0.1)3