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:
(3x + 4) (3x – 5)
Evaluate the following product without multiplying directly:
104 × 96
Write the following cube in expanded form:
(2x + 1)3
If x + y + z = 0, show that x3 + y3 + z3 = 3xyz.
Evaluate following using identities:
(a - 0.1) (a + 0.1)
Simplify the following products:
`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`
Evaluate of the following:
`(10.4)^3`
Evaluate of the following:
(99)3
Evaluate of the following:
1043 + 963
Simplify of the following:
(x+3)3 + (x−3)3
If x = −2 and y = 1, by using an identity find the value of the following
Use identities to evaluate : (101)2
Use the direct method to evaluate the following products :
(y + 5)(y – 3)
Use the direct method to evaluate the following products:
(5a + 16) (3a – 7)
Expand the following:
(3x + 4) (2x - 1)
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`
Simplify:
`("a" - 1/"a")^2 + ("a" + 1/"a")^2`
If `49x^2 - b = (7x + 1/2)(7x - 1/2)`, then the value of b is ______.
Factorise the following:
16x2 + 4y2 + 9z2 – 16xy – 12yz + 24xz
