Advertisements
Advertisements
प्रश्न
Expand the following, using suitable identity:
(–2x + 5y – 3z)2
Advertisements
उत्तर
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
(–2x + 5y – 3z)2 = (–2x)2 + (5y)2 + (–3z)2 + 2(–2x)(5y) + 2(5y)(–3z) + 2(–3z)(–2x)
= 4x2 + 25y2 + 9z2 – 20xy – 30yz + 12xz
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
104 × 96
Give possible expression for the length and breadth of the following rectangle, in which their area is given:
| Area : 35y2 + 13y – 12 |
Simplify the following product:
(x2 + x − 2)(x2 − x + 2)
If 2x+3y = 13 and xy = 6, find the value of 8x3 + 27y3
Evaluate of the following:
463+343
Find the value of 27x3 + 8y3, if 3x + 2y = 14 and xy = 8
Evaluate:
253 − 753 + 503
(a − b)3 + (b − c)3 + (c − a)3 =
If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]
If x + y = `7/2 "and xy" =5/2`; find: x - y and x2 - y2
Evaluate: `(3"x"+1/2)(2"x"+1/3)`
Simplify by using formula :
`("a" + 2/"a" - 1) ("a" - 2/"a" - 1)`
If x + y = 9, xy = 20
find: x2 - y2.
If `"a" + 1/"a" = 6;`find `"a" - 1/"a"`
If x + y = 1 and xy = -12; find:
x - y
If x + y = 1 and xy = -12; find:
x2 - y2.
Simplify:
(4x + 5y)2 + (4x - 5y)2
Simplify:
(7a +5b)2 - (7a - 5b)2
Find the following product:
`(x/2 + 2y)(x^2/4 - xy + 4y^2)`
Find the value of x3 + y3 – 12xy + 64, when x + y = – 4
