**J22: Multiply out brackets** (positive values only)

**eg (3x +2)(2x + 1) = 6x**^{2} + 10x + 2

factorise the expression 6x^{2} + 10x + 2

J23: Multiply out brackets (positive and negative values)

eg (3x -2)(2x + 1) = 6x^{2} - x - 2

factorise the expression 6x^{2} - x - 2

Use these buttons to generate a new expression. Click the '1' button to ensure the coefficient of the x terms is 1. Click the '2' button to have random coefficients of x. The diagram might not fit on the screen, click again if this happens.

The diagrams are drawn to scale: can you say what the value of x is?

Use these buttons to hide or show the expression or the factorised expression.

**J24: Solve quadratic equations**

eg: x^{2} + 3x - 10 = 0

Click twice under each equation to reveal the solutions.