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Factorise: (0·7)2 - (0·3)2
Concept: undefined >> undefined
Factorise: (4.5)2 – (1.5)2
Concept: undefined >> undefined
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Factorise: 75(x + y)2 - 48(x - y)2
Concept: undefined >> undefined
Factorise: a2 + 4a + 4 - b2
Concept: undefined >> undefined
Factorise: a2 - b2 - 2b - 1
Concept: undefined >> undefined
factorise: x2 + 6x + 9 - 4y2
Concept: undefined >> undefined
Verify Euler’s formula for the following three-dimensional figures:
Concept: undefined >> undefined
Using Euler's formula, find the values of x, y, z.
| Faces | Vertices | Edges | |
| (i) | x | 15 | 20 |
| (ii) | 6 | y | 8 |
| (iii) | 14 | 26 | z |
Concept: undefined >> undefined
With what least number must 8640 be divided so that the quotient is a perfect cube?
Concept: undefined >> undefined
Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?
Concept: undefined >> undefined
factorise : a2 - (b - c)2
Concept: undefined >> undefined
Divide Rs. 15,600 into two parts such that the interest on one at 5 percent for 5 years may be equal to that on the other at `4 1/2` percent for 6 years.
Concept: undefined >> undefined
factorise : 25(2x - y)2 - 16(x - 2y)2
Concept: undefined >> undefined
factorise : 16(5x + 4)2 -9(3x - 2)2
Concept: undefined >> undefined
factorise: 25(x - 2y)2 - 4
Concept: undefined >> undefined
Find the smallest number by which 26244 may be divided so that the quotient is a perfect cube.
Concept: undefined >> undefined
What is the least number by which 30375 should be multiplied to get a perfect cube?
Concept: undefined >> undefined
A person invests Rs. 5,000 for two years at a certain rate of interest compounded annually. At the end of one year, this sum amounts to Rs. 5,600. Calculate :
(i) the rate of interest per year.
(ii) the amount at the end of the second year.
Concept: undefined >> undefined
Factorise: (a - 3b)2 - 36 b2
Concept: undefined >> undefined
