Algebra Review Help

Keat · #1 $Old$ November 16th, 2009, 06:00 PM

These are the questions i cannot seem to answers from my review, any help would be great!

Factor the following trinomials (sanity check)

1) $6t^3 - 8t^2$ (COMPLETED)

2) $4p^2 - 12pg - 9q^2$ (COMPLETED)

Identify the coefficents, factors and terms and like terms for the following

3) $26a^2 cd^3$ (COMPLETED)

4) $6(x-y) + (x+y) -3(x-y)$ (COMPLETED)

Simplify

5) $(t - 5x) - {[(6p^2 - x) - 9 ] - (6t + p^2 - x)}$ (COMPLETED)

6) Subtract $5 - 3x$ from the sum of $6s + 5 - 2x$ and $4a^2 - 5x + 2$ (COMPLETED)

Multiply the folliwng expressions and reduce where possible

7) $(-4rs)(-3st^2)(-7rt)$ (COMPLETED)

8) $(3x - 2)(2x^2 + x - 3)$ (COMPLETED)

9) $(cx^3y)^5$ (COMPLETED)

Divide the following expressions

10) $\frac{-12a^5b^4c^8}{18a^5b^2c^5}$ (COMPLETED)

11) $\frac{a^2b^3 - 2a^3b^4 + ab + a^2b^2}{-ab}$

Factor

12) $18x^2y^2 - 30x^3y^3 + 54x^3y$

13) $xy + x + 3y + 3$ (COMPLETED)

bigwave · #2 $Old$ November 16th, 2009, 06:56 PM

well the first one is

$6t^3 - 8t^2$

$2t^2(3t-8)$

the next one may not be written correct
do you mean

$4p^2 - 12pq - 9q^2$

instead?

Keat · #3 $Old$ November 16th, 2009, 07:09 PM

Quote:

Originally Posted by bigwave $View Post$

$4p^2 - 12pq + 9q^2$

Its actually a positive, sorry

Thanks for the reply!!

bigwave · #4 $Old$ November 16th, 2009, 08:25 PM

$4p^2 - 12pq + 9q^2$
this factors into

$(2p-3q)(2p-3q) \ or \ (2p-3q)^2$
you can use the quadractic formula to find the coefiecents but
this one the hint is the a and c parts are squares.

I will do the rest of them if you want....

Keat · #5 $Old$ November 16th, 2009, 08:29 PM

Id be more than in debt to you if you could help me out with them,

Im really trying my best to get all 100+ questions done, those are just the ones ive had trouble with

If you wouldn't mind, Id be so grateful!

bigwave · #6 $Old$ November 16th, 2009, 09:12 PM

Identify the coefficents, factors and terms and like terms for the following

recall that

coefficents is a constant the mulitplies to the varable

factors are one or more expressions that are mulitplied to get a product

like terms are... 6(x-y) and -3(x-y) they just have different coeficents

expressions are Symbols that represent numbers or operations. A way of writing something that uses numbers and symbols.

bigwave · #7 $Old$ November 16th, 2009, 09:40 PM

$(t - 5x) - [(6p^2 - x) - 9 ] - (6t + p^2 - x)$

first expand the brackets

$t - 5x - 6p^2 + x + 9 - 6t - p^2 + x$

combine like terms

$-7p^2 - 3x - 5t + 9$

other possiblities too...