Question

find the product. write your answer in standard form.
$(2m + 3)(2m - 3)(m + 4)$

Explanation:

Step1: Multiply first two binomials

Use difference of squares: $(a+b)(a-b)=a^2-b^2$
$$(2m+3)(2m-3)=(2m)^2-(3)^2=4m^2-9$$

Step2: Multiply result with third binomial

Distribute each term: $(4m^2-9)(m+4)$
$$4m^2(m)+4m^2(4)-9(m)-9(4)$$

Step3: Simplify each term

Calculate individual products
$$4m^3+16m^2-9m-36$$

Answer:

$4m^3+16m^2-9m-36$