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
Use suitable identity to find the following product:
(x + 8) (x – 10)
Expand the following, using suitable identity:
(3a – 7b – c)2
Write the following cube in expanded form:
`[x-2/3y]^3`
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
Simplify: `(a + b + c)^2 - (a - b + c)^2`
If `x - 1/x = 3 + 2sqrt2`, find the value of `x^3 - 1/x^3`
If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]
If \[x + \frac{1}{x} = 3\] then find the value of \[x^6 + \frac{1}{x^6}\].
If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]
The product (a + b) (a − b) (a2 − ab + b2) (a2 + ab + b2) is equal to
Find the square of `(3a)/(2b) - (2b)/(3a)`.
Evalute : `( 7/8x + 4/5y)^2`
The number x is 2 more than the number y. If the sum of the squares of x and y is 34, then find the product of x and y.
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
If x + y = 9, xy = 20
find: x - y
If p2 + q2 + r2 = 82 and pq + qr + pr = 18; find p + q + r.
Expand the following:
(–x + 2y – 3z)2
If a + b + c = 9 and ab + bc + ca = 26, find a2 + b2 + c2.
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
