## Mathematical formulae, Mathematics

Assignment Help:

Mathematical Formulae

1. (a + b)2 = a2 + b2 + 2ab

2. (a - b)2 = a2 + b2 - 2ab

3. (a + b)2 + (a - b)2 = 2(a2 + b2)

4. (a + b)2 - (a - b)2 = 4ab

5. a2 - b2 = (a + b) (a - b)

6. (a + b)3 = a3 + b3 + 3ab (a + b)

7. (a - b)3 = a3 - b3 - 3ab (a - b)

8. a3 + b3 = (a + b) (a2 - ab + b2)

9. a3 - b3 = (a - b) (a2 + ab + b2)

10. logax = y →ay = x

11. logaxp = p logax

12. logaxy = loga x + logay

#### Finish the work., six men and Eight boys can finish a piece of work in 14 d...

six men and Eight boys can finish a piece of work in 14 days while  eight men and twelve boys can do it in 10 days. Find the time taken by  1man alone and that by 1boy alone to fin

#### Income tax, assignment on income tax

assignment on income tax

#### Focal chord of the parabola, show that the circle described on any focal c...

show that the circle described on any focal chord of the parabola touches the directrix

#### Design an automaton that accepts only even numbers, Design an automaton tha...

Design an automaton that accepts just only even numbers of 0s and even number of 1's. Ans: The needed automata that accepts even number of 0's and even number of 1's is specifi

#### Determine the probability that is of low quality, 1) A local factory makes ...

1) A local factory makes sheets of plywood. Records are kept on the number of mild defects that occur on each sheet. Letting the random variable x represent the number of mild de

#### What is the objective of lipids metabolism, What is the objective of lipids...

What is the objective of lipids metabolism ? After studying this unit, you will be able to: 1. explain how fatty acids are oxidized for the production of energy, 2. describe

#### Polynomial time algorithm - first order query, For queries Q 1 and Q 2 , w...

For queries Q 1 and Q 2 , we say Q 1 is contained in Q 2 , denoted Q 1 ⊆ Q 2 , iff Q 1 (D) ⊆ Q 2 (D) for every database D. The container problem for a fixed Query Q 0 i

#### Fraction, how do you learn about equivelant fractions

how do you learn about equivelant fractions

#### #title.mathematical induction, 1+2+3+.....+n=1/2n(n+1)

1+2+3+.....+n=1/2n(n+1)

#### What would this expression simplify to, If 3x2 is multiplied by the quantit...

If 3x2 is multiplied by the quantity 2x3y raised to the fourth power, what would this expression simplify to? The statement in the question would translate to 3x 2 (2x 3 y) 4 .  