Advertisements
Advertisements
प्रश्न
Evaluate the following using identities:
(2x + y) (2x − y)
उत्तर
In the given problem, we have to evaluate expressions by using identities.
We have been given (2x + y) (2x − y)
We shall use the identity `(a + b)(a - b)= a^2 -b^2`
Here a = 2x, b = y
By applying identity we get
`(2x + y)(2x - y) = (2x)^2 - (y)^2`
`= (2x xx 2x) - (y xx y)`
`= 4x^2 - y^2`
Hence the value of (2x + y)(2x - y) is `4x^2 - y^2`
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
103 × 107
Expand the following, using suitable identity:
(3a – 7b – c)2
Write the following cube in expanded form:
`[3/2x+1]^3`
Verify:
x3 – y3 = (x – y) (x2 + xy + y2)
Simplify the following products:
`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`
Evaluate of the following:
1113 − 893
Simplify of the following:
(2x − 5y)3 − (2x + 5y)3
Find the following product:
(4x − 5y) (16x2 + 20xy + 25y2)
Find the following product:
Find the following product:
If a2 + b2 + c2 − ab − bc − ca =0, then
If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^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.
Evaluate: `(3"x"+1/2)(2"x"+1/3)`
If `"a" - 1/"a" = 10;` find `"a" + 1/"a"`
If `"p" + (1)/"p" = 6`; find : `"p"^2 + (1)/"p"^2`
If `"r" - (1)/"r" = 4`; find : `"r"^4 + (1)/"r"^4`
Simplify:
(4x + 5y)2 + (4x - 5y)2
Simplify:
(2x + y)(4x2 - 2xy + y2)
If a + b + c = 9 and ab + bc + ca = 26, find a2 + b2 + c2.
