sims 3 expansions

Summary - (a + b) (a - b) = a 2 - b 2 (x + a) (x + b) = x 2 + (a + b)x + ab. (a + b) 3 = a 3 + b 3 + 3ab (a + b) = a 3 + 3a 2 b + 3ab 2 + b 3..

In algebra we come across certain products very frequently. For e.g., (a + b) 2 , (a + b) 3 (a + b + c) 2 etc. These are nothing but products of binomials or trinomials. We derive the formulae for these products and apply them whenever necessar..

Expansions Summary - (a + b) 2 = a 2 + 2ab + b 2 (a + b) 2 = a 2 + 2ab + b 2 (a - b) 2 = a 2 - 2ab + b 2 In the above two formulae the middle term = (a + b) (a - b) = a 2 - b 2 (x + a) (x + b) = x 2 + (a + b)x + ab. (a + b + c) 2 = a 2 + b 2 + c 2 + 2ab + 2bc + 2ac (a + b) 3 = a..

Expansion of container with liquid In the figure L 1 represents the original level at the level of the liquid first falls to L 2 , because the container gets heat first. When the liquid gets heated, it expands much more than the container and its level rises to L 3 . We can only..

Cubical Expansion - Increase in volume of a solid on heating is cubical expansion. Let V 1 = Initial volume at t 1 0 C V 2 = its volume at t 2 0 C (t 2 >t 1 ) Then increase in volume ' v' = v 2 -v 1 Increase in temperature ' t' = t 2 -t 1 The coefficient of cubical expan..

Working rules for expanding (a + b) n n N: Step 1: The value of index, n implies that there will be n+1 terms in the expansion of (a + b) n . Step 2: Write the first term: n C 0 a n b 0 . Step 3: For the second term, take coefficient as n C ..

Use binomial theorem to find the expansion of (1 - x) 5 => 1 - 5x + 10x 2 - 10x 3 - 5x 4 + x 5 or 1- x + x 2 - x 3 + x 4 - x 5 or 1 - 5x + 10x 2 - 10x 3 + 5x 4 - x 5 or 1- x 5..

Approximate (0.99) 30 to the nearest tenth using the first two terms of a binomial expansion. => 0.03 or 0.3 or 0.07 or 0.7..

Find the fifth term of the binomial expansion (3 - x ) 6 . => 105 x 5 or -135 x 4 or 235 x 5 or 135 x 4..

Write the variable part of the term having a coefficient of 4096. in the expansion (4 g - h ) 6 . => x 5 y or x 6 or y 6 or x 3 y 3..