ax + bx - cx = x( a + b - c)

abc + abd +acd = a(bc + bd + cd  )

x (x + x² + x³) = x² + x³ + x⁴

4(3 - 4a + 5b) =  12 - 16a + 20b

ab(3 + x - y) =  3ab + abx - aby

abc + abd + abx = ab(c + d + x )

3x³ + 2x² + x =  x(3x² + 2x + 1 )

¼ (8 - 16x + 32y) = 2 - 4x + 8y

 2 + 3x

 3 + x  )

Simplify:   x + x + x
       =  3x
Factor:    x + x² + x³  
       =  x( 1 + x + x² )
Simplify:  2(x + 4) - 3(x - 8)
 =  2x + 8 - 3x + 24 = -x + 32
Fa:  =

Si:    = 2 + x

Factor:  ab + ac + abc
     =   a ( b + c + bc)
Simplify:  abc(a + b + c)
     =  a²bc + ab²c + abc²
Factor :  56x + 48y
    =  8(7x + 6y)
Simplify:   -2(x-3-y)
   =  -2x + 6 + 2y
Solve:      3(x+4) - 6 = 30
   3x + 12 - 6 = 30 --> x = 8
Solve:     a( 1 - a )  =  4 - a²
   a - a² =4 - a²   -->  a = 4
Factor :   24ab - 16bc
      8b(3a - 2c)

Solve by writing an equation or an expression:

       A rectangular garden is twice as long as it is wide.
       The perimeter of the garden is 60 m.
       Find the dimensions of the garden.
          2x + x + 2x + x = 60  -->  6x = 60 --> x = 10
             Length = 20, width = 10

       A wall is 3 m high and 10 m long.  There are
       2 windows in the wall - each is 1 m high and
       75 cm wide.  If the wall must be painted,
       what is the total area that needs painting?
         Area = 3 x 10 - 2(0.75) = 30 - 1.5 = 28.5 m²

Draw a diagram for each of these:

      A rectangle that is 6 cm by 4 cm, containing
      a circle whose area is HALF the area of the
      rectangle.
         Area of square = 24,  Area of circle = 12
            =  1.77 cm
          Draw it.

      A triangle whose perimeter is 20 cm, with
      two equal sides, and each of the equal sides
      is twice as long as the third side.