Question 9 Unsaved For all x, (2x+3)^2=? Question 9 options: 4x^2+9 4x^2+6x+9 4x^2+6 4x^2+12x+9
Mathematics · High School · Thu Feb 04 2021
Answered on
Given:
(2x + 3) ^2
Expand.
Solution:
In order to expand the given equation, we can apply the rules of expansion or use the FOIL Method. In our case, we will use the FOIL Method. Multiply the first term of the first equation, to the first and last term of the second equation. Then, multiply the last term of the first equation, to the first and last term of the second equation.
(2x + 3)^2 = (2x + 3) (2x + 3)
To clearly see how it works, here's a step by step solution.
= (2x)(2x)
=4x^2
First term of the first equation multiplied to the first term of the second equation.
=(2x)(3)
= 6x
First term of the first equation multiplied to the last term of the second equation.
=(3)(2x)
=6x
Last term of the first equation multiplied to the first term of the second equation.
=(3)(3)
=9
Last term of the first equation multiplied to the fast term of the second equation.
= 4x^2 + 6x + 6x + 9
= 4x^2 + 12x + 9
Final answer:
= 4x^2 + 12x + 9