Question

Find the prodcut (2b+c)(3b+2c)

Answer 1

Use distributive property:
$(a + b)(c + d) = ac + ad + bc + cd$

$(2b+c)(3b+2c)=(2b)(3b)+(2b)(2c)+(c)(3b)+(c)(2c)\\\\=6b^2+4bc+3bc+2c^2=6b^2+7bc+2c^2$

Answer 2

Product?  prodcut?

Mult. these 2 binomials together, using the so-called FOIL method:

6b^2 + 4bc + 3bc + 2c^2

simplify:  6b^2 + 7bc + 2c^2 (ans)