Advertisements
Advertisements
प्रश्न
Using suitable identities, evaluate the following.
(69.3)2 – (30.7)2
Advertisements
उत्तर
We have,
(69.3)2 – (30.7)2 = (69.3 + 30.7)(69.3 – 30.7) ...[Using the identity, (a + b)(a – b) = a2 – b2]
= 100 × 38.6
= 3860
APPEARS IN
संबंधित प्रश्न
Factorise: 4x2 – 9y2
If X = a2 – 1 and Y = 1 – b2, then find X + Y and factorize the same
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
3a2b3 – 27a4b
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
25ax2 – 25a
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
1331x3y – 11y3x
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
16x4 – 81
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
8a3 – 2a
The base of a parallelogram is (2x + 3 units) and the corresponding height is (2x – 3 units). Find the area of the parallelogram in terms of x. What will be the area of parallelogram of x = 30 units?
Verify the following:
(a + b + c)(a2 + b2 + c2 – ab – bc – ca) = a3 + b3 + c3 – 3abc
Verify the following:
(a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2) = 0
