Vivian L. answered • 11/28/13
Tutor
3
(1)
Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACH
Hi again Kath;
HAPPY THANKSGIVING!
You are like me. When I was in school, the Holidays were an opportunity to catch-up on homework. I never learned how to baste a turkey. Larry is doing all of the cooking today. I cannot even make the frozen corn.
(5x + 3)(x-4)
First, I would like to correct your English. These are not brackets. Brackets are [ and ]. These are parentheses. We have to resolve two parenthetical equations.
Let's FOIL...
FIRST...(5x)(x)=5x2
OUTER...(5x)(-4)=-20x
INNER...(3)(x)=3x
LAST...(3)(-4)=-12
You may already know that a negative number multiplied by a positive number results in a negative number.
Therefore...
5x2-20x+3x-12
5x2-17x-12
(2x-1)2
This is...
(2x-1)(2x-1)
Let's FOIL...
FIRST...(2x)(2x)=4x2
OUTER...(2x)(-1)=-2x
INNER...(-1)(2x)=-2x
LAST...(-1)(-1)=1
4x2-2x-2x+1
4x2-4x+1
Jonathan G.
Brackets are a catch-all term for (), [], {}, etc. We use the adjective "square" when describing [] so that they are called square brackets. (Q.v. http://en.wikipedia.org/wiki/Bracket) The use of the word bracket is especially common in British mathematics.
Moreover, you are not resolving parenthetical equations, but rather
simplifying expressions.
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11/28/13
Kath P.
11/28/13