Advertisements
Advertisements
Question
Evaluate the following by using identities:
10013
Advertisements
Solution
10013 = (1000 + 1)3
[(a + b)3 = a3 + b3 + 3ab(a + b)]
= (1000)3 + 13 + 3(1000)(1)(1000 + 1)
= 1000000000 + 1 + 3000(1001)
= 1000000001 + 3003000
= 1003003001
APPEARS IN
RELATED QUESTIONS
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Find the following product: (3x + 5) (3x + 11)
Evaluate the following: 102 × 106
By using identity evaluate the following:
`1 + 1/8 - 27/8`
Expand the following, using suitable identities.
(x2y – xy2)2
Expand the following, using suitable identities.
(2x + 9)(2x – 7)
Using suitable identities, evaluate the following.
(1005)2
Carry out the following division:
51x3y2z ÷ 17xyz
Perform the following division:
(ax3 – bx2 + cx) ÷ (– dx)
Perform the following division:
(x3y3 + x2y3 – xy4 + xy) ÷ xy
