Advertisements
Advertisements
प्रश्न
Write in the expanded form:
`(m + 2n - 5p)^2`
Advertisements
उत्तर
We have
`(m + 2n - 5p)^2 = m^2 + (2n)^2 + (-5p)^2 + 2(m)(2n) + 2(2n)(-5p) + 2(m)(-5p)`
`[∵ (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca]`
` = m^2 + 4n^2 + 25p^2 + 4mn - 20np - 10pm`
`∴ (m + n - 5p)^2 = m^2 + 4n^2 + 25p^2 + 4mn - 20np - 10 "pm"`
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(x + 4) (x + 10)
Factorise the following:
64a3 – 27b3 – 144a2b + 108ab2
Verify:
x3 – y3 = (x – y) (x2 + xy + y2)
Evaluate the following using identities:
(0.98)2
Simplify the following products:
`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`
If \[x - \frac{1}{x} = 7\], find the value of \[x^3 - \frac{1}{x^3}\].
If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]
Find the following product:
Find the following product:
(2ab − 3b − 2c) (4a2 + 9b2 +4c2 + 6 ab − 6 bc + 4ca)
Evalute : `( 7/8x + 4/5y)^2`
Evaluate : (4a +3b)2 - (4a - 3b)2 + 48ab.
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.
Expand the following:
(2p - 3q)2
Find the squares of the following:
9m - 2n
Simplify by using formula :
(x + y - 3) (x + y + 3)
Evaluate the following without multiplying:
(103)2
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" - (1)/"a"`
If `"r" - (1)/"r" = 4`; find: `"r"^2 + (1)/"r"^2`
Using suitable identity, evaluate the following:
9992
Find the following product:
`(x/2 + 2y)(x^2/4 - xy + 4y^2)`
