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See Binomial Expansion. $$ a + b ^2 = a^2 + 2ab + b^2 $$ Example 1. Square the first term: $ 3x ^2 = 9x^2$ 2. Double the product of both: Multiply $3x$ and $10$ together to get $30...
Using Pascal's triangle or the binomial equation , you can quickly expand an equation such as $ x+h ^x$. To do this you: 1. Look at the $n$ th row of the triangle counting the very...
Using Pascal's triangle or the binomial equation , you can quickly expand an equation such as $ x+h ^x$. To do this you: 1. Look at the $n$ th row of the triangle counting the very...
Factor theorem is the process of validating whether a factor is a factor of an equation. A factor is a number where the a % b = 0 . For example, $ x + 3 $ is a factor of $f x = x^2...
Factor theorem is the process of validating whether a factor is a factor of an equation. A factor is a number where the a % b = 0 . For example, $ x + 3 $ is a factor of $f x = x^2...
TODO Write and explain techniques. Choose Example $$ \begin{array}{0} 1+ax ^10 = 1^10 + 1^9 {10\choose {1}} ax ^1 + 1^8 + {10\choose {2}} ax ^2 \dots \end{array} $$ Year 13 Techniq...
TODO Write and explain techniques. Choose Example $$ \begin{array}{0} 1+ax ^10 = 1^10 + 1^9 {10\choose {1}} ax ^1 + 1^8 + {10\choose {2}} ax ^2 \dots \end{array} $$ Year 13 Techniq...
WARNING This does not have any practical example. It is just a demonstration. See Binomial Expansion for technique. $$ \begin{array}{0} x + 2y ^2 = 1x^3 2y ^0 + 3x^2 2y + 3x 2y ^2...
WARNING This does not have any practical example. It is just a demonstration. See Binomial Expansion for technique. $$ \begin{array}{0} x + 2y ^2 = 1x^3 2y ^0 + 3x^2 2y + 3x 2y ^2...