#2.2A
evaluate expressions by substituting numerical values for letters
#2.2B
collect like terms
#2.2C
multiply a single term over a bracket
\(3x(2x+5)\)
#2.2D
take out common factors
Factorise fully \(8xy + 12y^2\)
#2.2E
expand the product of two simple linear expressions
Expand and simplify \((x+8)(x-5)\)
#2.2F
understand the concept of a quadratic expression and be able to factorise such expressions (limited to \(x^2 + bx + c\))
Factorise \(x^2 + 10x + 24\)
#2.2G
expand the product of two or more linear expressions
Factorise \((x + 2)(x + 3)(x - 1)\)
#2.2H
understand the concept of a quadratic expression and be able to factorise such expressions
Factorise \(6x^2 - 5x - 6\)
#2.2I
manipulate algebraic fractions where the numerator and/or the denominator can be numeric, linear or quadratic
Express as a single fraction \(\dfrac{3x+1}{x+2} - \dfrac{x-2}{x-1}\)
Simplify \(\dfrac{2x^2+3x}{4x^2-9}\)
#2.2J
complete the square for a given quadratic expression
Write \(2x^2 + 6x - 1\) in the form \(a(x + b)^2 + c\)
#2.2K
use algebra to support and construct proofs