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: 197 × 203
Simplify the following using the identities: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]
Find the following product: (3x + 5) (3x + 11)
Find the following product: (2x2 − 3) (2x2 + 5)
Find the following product: (z2 + 2) (z2 − 3)
Find the following product: (3x − 4y) (2x − 4y)
Simplify:
(2.5m + 1.5q)2 + (2.5m – 1.5q)2
Using suitable identities, evaluate the following.
(52)2
Perform the following division:
(3pqr – 6p2q2r2) ÷ 3pq
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
