FORMULA HAVEN

Expansion of a⁴b² + a²b⁴ when given ab and (a + b).

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Generate a random quadratic trinomial and factor it.

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Use a random number generator to generate a three-digit number. Then, find the sum of all its positive factors.

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Use a random number generator to generate a three-digit number. Then, find the number of simplified proper fractions with this three-digit number as its denominator.

Recall the arithmetic series formula when solving for the nth term.

Recall the sum of an arithmetic series when the last term is known.

Recall the sum of an arithmetic series when the last term is unknown.

Recall the formula for the area of an isosceles right triangle where the two legs have equal length, or more generally, the area of a triangle wherein the base and height are equal.

Recall the formula for the sum of the interior angles of a regular polygon, where N is the number of sides.

Recall the formula for the exterior angle of a regular polygon.

…wherein n = the total number of items in a set and r = the number of items to be chosen.

Recall the combination formula and clarify what the variables represent.

Recall the formula for the surface area of a cuboid.