Algebra.

• When we expand single brackets. Each term in the brackets is multiplied by the term infront.
  • 4(x+2)
  • =4x+8
• When we expand quadratics each term in the first brackets is multiplied by each term in the second.
  • (x+2)(x+6)
  • =x*+2x+6x+12
  • =x*+8x+12

• When factorising single brackets remember to look for the lowest number that goes into each bracket.
  • 16x+16y
  • =16(x+y)
• When factorising Quadratics remember to find a number that multiplies to get the single number and adds to get the x co-efficient.
  • x*-6x+9
  • =(x-3)(x-3)
  • =(x-3)*

Factorise 2x*+14x+12

• 1- Multiply the coefficient of x with the constant term
  • 2 by 12 = 24
• 2- List the factors of this number
  • 1,24--2,12--3,8--4,6
• 3-Find the pair of numbers that add to the middle term
  • 2+12=24
• 4- Rewrite the quadratic expression using these pairs of numbers
  • 2x*+2x+12x+12
• 5- Factorise each pair of terms
  • 2x(x+1)+12(x+1)
• 6- Factorise again
  • (2x+12)(x+1)