Advertisements
Advertisements
प्रश्न
Factorise the following:
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
उत्तर
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
= (–5x)2 + (4y)2 + (2z)2 + 2(–5x)(4y) + 2(4y)(2z) + 2(2z)(–5x) ...[Using identity, (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca]
= (–5x + 4y + 2z)2
= (–5x + 4y + 2z)(–5x + 4y + 2z)
APPEARS IN
संबंधित प्रश्न
Factorise the following using appropriate identity:
4y2 – 4y + 1
Factorise:
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
Verify that `x^3+y^3+z^3-3xyz=1/2(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2]`
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 3x2 – 12x |
Evaluate the following using identities:
`(2x+ 1/x)^2`
If 2x + 3y = 8 and xy = 2 find the value of `4x^2 + 9y^2`
Simplify the following products:
`(1/2a - 3b)(1/2a + 3b)(1/4a^2 + 9b^2)`
Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`
If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + bc + ca.
If \[x - \frac{1}{x} = - 1\] find the value of \[x^2 + \frac{1}{x^2}\]
Evaluate of the following:
463+343
If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]
If \[x^3 + \frac{1}{x^3} = 110\], then \[x + \frac{1}{x} =\]
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
If m - n = 0.9 and mn = 0.36, find:
m2 - n2.
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" - (1)/"a"`
Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
Using suitable identity, evaluate the following:
1033
Factorise the following:
`(2x + 1/3)^2 - (x - 1/2)^2`
