Advertisements
Advertisements
प्रश्न
Evaluate the following by using identities:
983
Advertisements
उत्तर
983 = (100 – 2)3 [(a – b)3 = a3 – b3 – 3ab(a – b)]
= 1003 – (2)3 – 3(100)(2)(100 – 2)
= 1000000 – 8 – 600(98)
= 1000000 – 8 – 58800
= 1000000 – 58808
= 941192
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 1.8 × 2.2
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Find the following product: (3x + 5) (3x + 11)
Find the following product: (x2 + 4) (x2 + 9)
Evaluate the following: 35 × 37
If (x + y + z) = 9 and (xy + yz + zx) = 26, then find the value of x2 + y2 + z2
Using suitable identities, evaluate the following.
(49)2
Using suitable identities, evaluate the following.
(98)2
Using suitable identities, evaluate the following.
(1005)2
Perform the following division:
(3pqr – 6p2q2r2) ÷ 3pq
