Advertisements
Advertisements
प्रश्न
Simplify the following:
322 x 322 - 2 x 322 x 22 + 22 x 22
Advertisements
उत्तर
We have
322 x 322 - 2 x 322 x 22 + 22 x 22
= (322 - 22)2 [∵ `(a - b)2 = a^2 - 2ab = b^2`]
`= (300)^2`
= 90000
∴ 322 x 322 - 2 x 322 x 22 + 22 xx 22 = 90000
APPEARS IN
संबंधित प्रश्न
Factorise:
4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
Factorise:
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
Simplify the following:
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
If 3x - 7y = 10 and xy = -1, find the value of `9x^2 + 49y^2`
Write in the expanded form:
`(m + 2n - 5p)^2`
If a + b = 10 and ab = 21, find the value of a3 + b3
Evaluate of the following:
(99)3
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
(9y2 − 4x2) (81y4 +36x2y2 + 16x4)
If x + \[\frac{1}{x}\] = then find the value of \[x^2 + \frac{1}{x^2}\].
If \[x + \frac{1}{x} = 3\] then find the value of \[x^6 + \frac{1}{x^6}\].
(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to ______.
If \[\frac{a}{b} + \frac{b}{a} = 1\] then a3 + b3 =
Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`
Evaluate: (4 − ab) (8 + ab)
Evaluate: `(2"x"-3/5)(2"x"+3/5)`
Expand the following:
(2p - 3q)2
If x + y = 1 and xy = -12; find:
x - y
Simplify:
(2x + y)(4x2 - 2xy + y2)
