The given product is:
[tex]3(4b+12c+11)[/tex]
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:
[tex]12b+36c+33[/tex]
Hence, the required product in standard form is 12b+36c+33.
The required product in standard form is 12b+36c+33.
