Advertisements
Advertisements
प्रश्न
Evaluate the following product without multiplying directly:
104 × 96
Advertisements
उत्तर
104 × 96 = (100 + 4) (100 − 4)
= (100)2 − (4)2 ...[(x + y)(x − y) = x2 − y2]
= 10000 − 16
= 9984
APPEARS IN
संबंधित प्रश्न
Without actually calculating the cubes, find the value of the following:
(28)3 + (–15)3 + (–13)3
Give possible expression for the length and breadth of the following rectangle, in which their area is given:
| Area : 35y2 + 13y – 12 |
If `x + 1/x = sqrt5`, find the value of `x^2 + 1/x^2` and `x^4 + 1/x^4`
Simplify the following products:
`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`
If \[x + \frac{1}{x} = 5\], find the value of \[x^3 + \frac{1}{x^3}\]
Find the value of 64x3 − 125z3, if 4x − 5z = 16 and xz = 12.
If a + b + c = 9 and a2+ b2 + c2 =35, find the value of a3 + b3 + c3 −3abc
If a − b = 5 and ab = 12, find the value of a2 + b2
If the volume of a cuboid is 3x2 − 27, then its possible dimensions are
Find the square of `(3a)/(2b) - (2b)/(3a)`.
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
Use the direct method to evaluate :
(xy+4) (xy−4)
Evaluate: `(4/7"a"+3/4"b")(4/7"a"-3/4"b")`
Evaluate: (1.6x + 0.7y) (1.6x − 0.7y)
Evaluate, using (a + b)(a - b)= a2 - b2.
4.9 x 5.1
If a - b = 10 and ab = 11; find a + b.
If `"a" - 1/"a" = 10`; find `"a"^2 - 1/"a"^2`
If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`
Simplify:
`(x - 1/x)(x^2 + 1 + 1/x^2)`
Expand the following:
(3a – 2b)3
