Advertisements
Advertisements
प्रश्न
Evaluate the following, using suitable identity
297 × 303
Advertisements
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
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)
Using suitable identities, evaluate the following.
(9.7)2 – (0.3)2
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).
`1/36a^2b^2 - 16/49b^2c^2`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
y4 – 625
Factorise the expression and divide them as directed:
(x2 – 22x + 117) ÷ (x – 13)
The radius of a circle is 7ab – 7bc – 14ac. Find the circumference of the circle. `(pi = 22/7)`
Verify the following:
(m + n)(m2 – mn + n2) = m3 + n3
Verify the following:
(a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2) = 0
Verify the following:
`((3p)/7 + 7/(6p))^2 - (3/7p + 7/(6p))^2 = 2`
