Algebra practice
By popular request… Remember that a multiplying mixed signs gives a negative answer and multiplying same signs gives a positive answer!
Multiply out the following
- 2(3x – 2) – 4(2x – 1)
- 2xy(x + y)
- 2(4x + 3) + 3(2x – 9)
- 4(x + y) – 2(x + 2y)
- 2x(x2 – y3)
- 2(5x – 4) – 3(2x + 7)
- 4(10x + 3y) – 7(x + y)
- 3x2(4x + 2y) – 4y(2x2 – 3y)
- 2(x – y) – (4x + 3y)
- 14(2x – y) – 5(3x – 2y) + 4(4y – 2x)
Factorise the following expressions
- remember to find the largest common denominator and to divide through by the common denominator to find what goes inside the bracket
- remember that xy2 means ‘x multiplied by y squared’ and is different to x2y
- 6x2y – 9xy2
- 12xy – 15x2y2
- 18x2 – 6x
- 21p2 + 28p
- 24q2 – 18q
- 15r2s – 10rs2
- 18xy – 27xy2
- 15x2y3 – 20x3y4
- 12py2 – 9p2y
- 144x4y8z3 – 84xy2z