Expand brackets

The goal of this task is to expand the brackets of a specific expression. You can fill in this expression at the expression field.

Factor

The goal of this task is to factorise a specific expression. You can fill in this expression at the expression field.

Combine fractions

The goal of this task is to write a given expression as a single fraction. You can fill in this expression at the expression field.

Complete the square

The goal of this task is to write a specific expression in the completed square form relative to a specific variable. You can fill in this expression at the expression field and the variable at the variable field.

Write into linear form

The goal of this task is to write a specific expression into the linear form relative to a specific variable. You can fill in this expression at the expression field and the variable at the variable field.

Write as a power function

The goal of this task is to write a specific expression into a power function relative to a specific base value. You can fill in the expression in the expression field and the base value in the base field.

Write into standard exponential form

The goal of this task is to write a specific expression into standard exponential form. You can fill in this expression at the expression field.

Write cartesian vector into polar coordinates

The goal of this task is to write a specific 2D cartesian vector into 2D polar coordinates. You can fill in the x-coordinate of the cartesian vector at the x field and the y-coordinate of the cartesian vector at the y field.

Write polar vector into cartesian coordinates

The goal of this task is to write a specific polar vector into cartesian coordinates. You can fill in the radius of the specific polar vector at the r field and the angle of the specific polar vector at the angle field. If the angle is in degrees, you have to add the degrees symbol at the angle field.

Refer to the following interactive exercise to test and inspect the behavior of the task(s).

Interactive student version:

Worked solution: