How do you multiply (2m+3)(m-1)(2m+3)(m−1)?
2 Answers
Explanation:
First of all, we use the FOIL method, which helps when distributing factored binomials.
F: Multiply first terms of each parenthesis
O: Multiply the outside terms (first term of the first parenthesis and
last term of the second parenthesis)
I: Multiply the inside terms (last term of the first parenthesis and first term of the second parenthesis)
L: Multiply last terms of each parenthesis
Now, to the math:
F:
O:
I:
L:
Now that we have all of our terms, we simplify to get the solution by adding like terms:
=
=
Explanation:
Each term in the second bracket is multiplied by each term in the first bracket as shown below.
(color(red)(2m+3))(m-1)(2m+3)(m−1)
=color(red)(2m)(m-1)color(red)(+3)(m-1)=2m(m−1)+3(m−1)
=(color(red)(2m)xxm)+(color(red)(2m)xx-1)+(color(red)(3)xxm)+(color(red)(3)xx-1)=(2m×m)+(2m×−1)+(3×m)+(3×−1)
=2m^2+(-2m)+3m+(-3)=2m2+(−2m)+3m+(−3)
=2m^2-2m+3m-3=2m2−2m+3m−3
=2m^2+m-3=2m2+m−3