The given product is:
It is required to use a rectangular array to write the product in standard form.
Draw the rectangular array as shown:
Partition the sum to give small rectangles as shown:
Calculate the area of each rectangle by multiplying the width and length, then find the sum to write the product in standard form:
Write the areas as a sum:
Hence, the required product in standard form is 12b+36c+33.
The required product in standard form is 12b+36c+33.