Advertisements
Advertisements
प्रश्न
Using identities, evaluate 9982
Advertisements
उत्तर
9982 = (1000 − 2)2
= (1000)2 − 2(1000)(2) + (2)2 [(a − b)2 = a2 − 2ab + b2 ]
= 1000000 − 4000 + 4 = 996004
संबंधित प्रश्न
Use a suitable identity to get the following products.
(x + 3) (x + 3)
Simplify (2x +5)2 − (2x − 5)2
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 103 × 98
Evaluate the following, using suitable identity
1032
Factorise the following using suitable identity
y2 + 20y + 100
Factorise the following.
p2 + 14p + 13
The height of a triangle is x4 + y4 and its base is 14xy. Find the area of the triangle.
Verify the following:
(7p – 13q)2 + 364pq = (7p + 13q)2
Factorise `x^2 + 1/x^2 + 2 - 3x - 3/x`.
Take suitable number of cards given in the adjoining diagram [G(x × x) representing x2, R(x × 1) representing x and Y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles:
- 2x2 + 6x + 4
- x2 + 4x + 4.
Factorise 2x2 + 6x + 4 by using the figure.
Calculate the area of figure.
