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
Use suitable identity to find the following product:
(x + 4) (x + 10)
Evaluate the following using identities:
(0.98)2
Find the cube of the following binomials expression :
\[2x + \frac{3}{x}\]
If \[x - \frac{1}{x} = 5\], find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
(3x + 2y) (9x2 − 6xy + 4y2)
Find the following product:
(4x − 5y) (16x2 + 20xy + 25y2)
If a + b + c = 9 and ab + bc + ca =23, then a3 + b3 + c3 − 3abc =
Find the square of : 3a + 7b
If a2 - 5a - 1 = 0 and a ≠ 0 ; find:
- `a - 1/a`
- `a + 1/a`
- `a^2 - 1/a^2`
Use the direct method to evaluate :
(3b−1) (3b+1)
Use the direct method to evaluate :
(ab+x2) (ab−x2)
Expand the following:
(3x + 4) (2x - 1)
Expand the following:
(a + 3b)2
Expand the following:
`(2"a" + 1/(2"a"))^2`
Find the squares of the following:
(2a + 3b - 4c)
If `"a" - 1/"a" = 10;` find `"a" + 1/"a"`
If m - n = 0.9 and mn = 0.36, find:
m + n
If `x/y + y/x = -1 (x, y ≠ 0)`, the value of x3 – y3 is ______.
If a + b + c = 9 and ab + bc + ca = 26, find a2 + b2 + c2.
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
