Advertisements
Advertisements
प्रश्न
Simplify the following: 175 x 175 x 2 x 175 x 25 x 25 x 25
Advertisements
उत्तर
We have
175 x 175 + 2 x 175 x 25 + 25 x 25 = (175)2 + 2(175)(25) + (25)2
= (175 + 25)2 [∵ a2 + b2 + 2ab = (a + b)2]
=(200)2 = 40000 [here a = 175 and b = 25]
∴ 175 x 175 + 2 x 175 x 25 + 25 x 25 = 40000
APPEARS IN
संबंधित प्रश्न
Factorise the following:
8a3 – b3 – 12a2b + 6ab2
If `x^2 + 1/x^2 = 66`, find the value of `x - 1/x`
Write the expanded form:
`(-3x + y + z)^2`
If a + b = 10 and ab = 21, find the value of a3 + b3
Mark the correct alternative in each of the following:
If \[x + \frac{1}{x} = 5\] then \[x^2 + \frac{1}{x^2} = \]
If a + b + c = 9 and ab + bc + ca = 23, then a2 + b2 + c2 =
If \[\frac{a}{b} + \frac{b}{a} = - 1\] then a3 − b3 =
If \[x^4 + \frac{1}{x^4} = 194,\] then \[x^3 + \frac{1}{x^3} =\]
If a1/3 + b1/3 + c1/3 = 0, then
If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^2`
If a2 - 5a - 1 = 0 and a ≠ 0 ; find:
- `a - 1/a`
- `a + 1/a`
- `a^2 - 1/a^2`
If x + y = 9, xy = 20
find: x - y
If x + y + z = 12 and xy + yz + zx = 27; find x2 + y2 + z2.
If `"p" + (1)/"p" = 6`; find : `"p"^2 + (1)/"p"^2`
Simplify:
`(x - 1/x)(x^2 + 1 + 1/x^2)`
Simplify:
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
Factorise the following:
9y2 – 66yz + 121z2
Expand the following:
(4a – b + 2c)2
If a + b + c = 5 and ab + bc + ca = 10, then prove that a3 + b3 + c3 – 3abc = – 25.
