ALGEBRA what you need to know.

Algebraic Manipulation.

When multiplying indices with brackets multiply powers 1.The Laws of Indices a²x a³= a²+³= a When multiplying indices you add the powers a³÷ a² = a³- a² = a When dividing indices you subtract the powers (a²) ³ = a ²x³ = a When multiplying indices with brackets multiply powers

2. Collecting Like Terms Simplify 3x + 4y + 2x – 5y How many x’s and how many y’s have we got We have 3x + 2x = 5x and + 4y – 5y = - y So the answer is 5x - y

3. Multiplying Out Brackets 3 x a + 3 x 1 = 3a + 3 You need to multiply what is inside the bracket by what is outside. 2 x ( x + y ) = 2 x ²+ 2 x y ( a + b ) ( c + d ) = a c + a d + b c + b d

Using letter symbols a + a + a is written as 3a a x b is written as ab There are several rules to follow, when writing expressions a + a + a is written as 3a a x b is written as ab a x 3 x b is written as 3ab b x b is written as this is not the same as 2b b² n x n x 3 is written as 3n² a x ( b + c ) is written as a ( b + c ) ( a + b ) ÷ c is written as