Question

A square lighting rig's total number of lights can be calculated with the equation S(n) = n2, where n is the number of rows. In stadiums and other large venues, it may be necessary to group lighting rigs together into giant arrays of rigs on steel frameworks. If triangular lighting rigs are grouped together into a giant square array, the total number of lights would be given by multiplying the triangular rig function by the square rig function. Assuming that the number of rows n in the triangular rigs is the same as the number of rows n in the overall square array, what polynomial expression a