Advertisements
Advertisements
प्रश्न
Evaluate the following, using suitable identity
297 × 303
उत्तर
297 × 303 = (300 – 3)(300 + 3)
Taking a = 300 and b = 3, then
(a + b)(a – b) = a2 – b2 becomes
(300 + 3)(300 – 3) = 3002 – 32
303 × 297 = 90000 – 9
297 × 303 = 89,991
APPEARS IN
संबंधित प्रश्न
Choose the right answers from the option:
The difference of the squares, (612 – 512 ) is equal to ______.
Factorise the following expressions
m2 + m – 72
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(p + 2)(p – 2)
The pathway of a square paddy field has 5 m width and length of its side is 40 m. Find the total area of its pathway. (Note: Use suitable identity)
The value of (a + 1)(a – 1)(a2 + 1) is a4 – 1.
Using suitable identities, evaluate the following.
(9.7)2 – (0.3)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
9x2 – 1
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
25ax2 – 25a
Factorise the expression and divide them as directed:
(3x2 – 48) ÷ (x – 4)
Verify the following:
(a + b + c)(a2 + b2 + c2 – ab – bc – ca) = a3 + b3 + c3 – 3abc
