Vivian L. answered • 11/28/13

Tutor

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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)=5x

^{2}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...

5x

^{2}-20x+3x-125x

^{2}-17x-12(2x-1)

^{2}This is...

(2x-1)(2x-1)

Let's FOIL...

FIRST...(2x)(2x)=4x

^{2}OUTER...(2x)(-1)=-2x

INNER...(-1)(2x)=-2x

LAST...(-1)(-1)=1

4x

^{2}-2x-2x+14x

^{2}-4x+1Jonathan 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