Advertisements
Advertisements
प्रश्न
Expand the following, using suitable identity:
(3a – 7b – c)2
Advertisements
उत्तर
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
(3a – 7b – c)2 = (3a)2 + (–7b)2 + (–c)2 + 2(3a)(–7b) + 2(–7b)(–c) + 2(–c)(3a)
= 9a2 + 49b2 + c2 – 42ab + 14bc – 6ac
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
104 × 96
Expand the following, using suitable identity:
(x + 2y + 4z)2
Simplify the following:
322 x 322 - 2 x 322 x 22 + 22 x 22
If 2x + 3y = 8 and xy = 2 find the value of `4x^2 + 9y^2`
Write in the expanded form:
`(a/(bc) + b/(ca) + c/(ab))^2`
If a − b = 4 and ab = 21, find the value of a3 −b3
Simplify of the following:
(x+3)3 + (x−3)3
Simplify of the following:
(2x − 5y)3 − (2x + 5y)3
Find the following product:
(4x − 5y) (16x2 + 20xy + 25y2)
If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
Find the square of : 3a - 4b
Find the square of `(3a)/(2b) - (2b)/(3a)`.
Use identities to evaluate : (502)2
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`
Expand the following:
(x - 3y - 2z)2
Evaluate the following :
7.16 x 7.16 + 2.16 x 7.16 + 2.16 x 2.16
Simplify (2x – 5y)3 – (2x + 5y)3.
