Expressions and Formulae

Mohamed M
Mind Map by Mohamed M, updated more than 1 year ago
Mohamed M
Created by Mohamed M almost 5 years ago
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Mind Map on Expressions and Formulae, created by Mohamed M on 03/24/2015.

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Expressions and Formulae
1 Simplifying expressions
1.1 Simplifying expressions with one variable: Xa + Ya + Za = (X + Y + Z)a e.g. 15a – (5a + 6a) = 15a – 11a = 4a
1.2 Simplifying expressions with multiple variables: Wb + Xa + Ya + Zb = (X + Y)a + (W + Z)b e.g. 15a + 6b – (5b + 6a) = (15a – 6a) + (6b - 5b) = 9a + b
2 Expanding brackets
2.1 x(a + b) = xa + xb . 2x(4 + 2) = 2x(6) = 12x .
3 Factorising brackets
3.1 Use highest common factors of all the numbers in an expression / a formula to see what you should factorise with. For example if it is 6x + 4xy you can factorise to make it 2x(3 + 2y) because 2x is the HCF. 16x_ + 4x = 4x(4x + 1)
3.2 Difference of two squares: If a formula is Ax_ - y_ then you can factorise as (x+y)(Ax - y) or ( Ax +y)( Ax - y)
4 Quadratic equations
4.1 2x_ + 8x +8 = (2x + 4)(x+2) because 4*2=8 and 4 + (2*2) = 8
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