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Mathematical Formulae
(a + b)2 = a2 + b2 + 2ab
(a - b)2 = a2 + b2 - 2ab
(a + b)2 + (a - b)2 = 2(a2 + b2)
(a + b)2 - (a - b)2 = 4ab
a2 - b2 = (a + b) (a - b)
(a + b)3 = a3 + b3 + 3ab (a + b)
(a - b)3 = a3 - b3 - 3ab (a - b)
a3 + b3 = (a + b) (a2 - ab + b2)
a3 - b3 = (a - b) (a2 + ab + b2)
logax = y →ay = x
logaxp = p logax
logaxy = loga x + logay
the length of three pieces of ropes are 140cm,150cm and 200cm.what is the greatest possible length to measure the given pieces of a rope?
conclusion for the shares nd dividends
chapter permutation & combination ex :4.6
evaluate the expression and write the result in the form a + bi. I^37
the adjacent sides of a parallelogram are 2x2-5xy+3y2=0 and one diagonal is x+y+2=0 find the vertices and the other diagonal
Martha has $20 to spend and would like to buy as several calculators as possible along with the money. The calculators that she needs to buy are $4.50 each. How much money will she
Proof of: lim q →0 (cos q -1) / q = 0 We will begin by doing the following, lim q →0 (cosq -1)/q = lim q →0 ((cosq - 1)(cosq + 1))/(q (cosq + 1)) = lim q
Monotonic, Upper bound and lower bound Given any sequence {a n } we have the following terminology: 1. We call or denote the sequence increasing if a n n+1 for every n.
2+2=
Prove: cotA/2.cotB/2.cotC/2 = cotA/2+cotB/2+cotC/2
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