Advertisements
Advertisements
प्रश्न
Use suitable identity to find the following product:
`(y^2+3/2)(y^2-3/2)`
Advertisements
उत्तर
By using the identity (x + y)(x − y) = x2 − y2,
`(y^2+3/2)(y^2-3/2)= (y^2)^2-(3/2)^2`
= `y^4-9/4`
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
104 × 96
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 12ky2 + 8ky – 20k |
Evaluate the following using identities:
`(a^2b - b^2a)^2`
If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.
Evaluate the following:
(98)3
Simplify of the following:
\[\left( x + \frac{2}{x} \right)^3 + \left( x - \frac{2}{x} \right)^3\]
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{7} + \frac{y}{3} \right) \left( \frac{x^2}{49} + \frac{y^2}{9} - \frac{xy}{21} \right)\]
If \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]
The product (x2−1) (x4 + x2 + 1) is equal to
If 3x + 4y = 16 and xy = 4, find the value of 9x2 + 16y2.
Use the direct method to evaluate :
(3b−1) (3b+1)
Use the direct method to evaluate :
(4+5x) (4−5x)
Evaluate: (5xy − 7) (7xy + 9)
If x + y = 9, xy = 20
find: x2 - y2.
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" - (1)/"a"`
Simplify:
(x + y - z)2 + (x - y + z)2
Using suitable identity, evaluate the following:
9992
