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
Expand the following, using suitable identity:
`[1/4a-1/2b+1]^2`
Write the following cube in expanded form:
(2x + 1)3
Factorise the following:
27y3 + 125z3
If `x + 1/x = sqrt5`, find the value of `x^2 + 1/x^2` and `x^4 + 1/x^4`
Simplify the following product:
(x2 + x − 2)(x2 − x + 2)
Write in the expanded form:
`(a + 2b + c)^2`
Write in the expanded form:
`(m + 2n - 5p)^2`
Simplify the expression:
`(x + y + z)^2 + (x + y/2 + 2/3)^2 - (x/2 + y/3 + z/4)^2`
Find the cube of the following binomials expression :
\[4 - \frac{1}{3x}\]
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{3}{x} - \frac{x}{3} \right) \left( \frac{x^2}{9} + \frac{9}{x^2} + 1 \right)\]
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{5}{x} + 5x \right)\] \[\left( \frac{25}{x^2} - 25 + 25 x^2 \right)\]
If a1/3 + b1/3 + c1/3 = 0, then
If a + b + c = 9 and ab + bc + ca =23, then a3 + b3 + c3 − 3abc =
Evalute : `((2x)/7 - (7y)/4)^2`
Evaluate: (1.6x + 0.7y) (1.6x − 0.7y)
If x + y + z = 12 and xy + yz + zx = 27; find x2 + y2 + z2.
If `"r" - (1)/"r" = 4`; find : `"r"^4 + (1)/"r"^4`
Simplify:
`(x - 1/x)(x^2 + 1 + 1/x^2)`
Which one of the following is a polynomial?
Expand the following:
(4a – b + 2c)2
