Question

Simplify: Multiply
5ab(6a – 4b)
(4x + 3)(2x – 4)
( x - 7)(x + 6)
(3a – 7b)2

Answer 1

is that one problem, or is each line a different problem?

Answer 2

each line is a diffrent problem

Answer 3

ok so this is the distributive property. Multiply each number by every number in the parenthesis set.\[(5ab*6a)- (5ab*4b)\]

Answer 4

so 5*6=30 a*a is a^2 with b left over
5*4=20 b*b= b^2 with a left over\[30a ^{2}b-20ab ^{2}\] can this be simplified any further?

Answer 5

\[15a ^{2}b-10ab ^{2}\]

Answer 6

how did you get that?

Answer 7

i divided 30 by 2 and 20 by 2

Answer 8

is that wrong

Answer 9

oh I see, well you cannot do that because they are not like terms. so \[30a ^{2}b-20ab ^{2} \]

Answer 10

is the most simplified form. If they had set the equation = to an number than you would have had to do more simplifying, but because they didn't, that is as far as you can go.

Answer 11

o ok

Answer 12

so number 2 the answer would be \[8x ^{2}+12\]

Answer 13

No, The next one is\[(4x+3)(2x-4)\] the first step is to distribute the numbers from the first set to each of the numbers in the second set.\[(4x*2x),(4x*-4), (3*2x),(3*-4)\]\[8x ^{2}-8x+6x-12\]\[8x ^{2}-2x-12\]

Answer 14

s\[8x ^{2}\]-8x = 0 then 6x -12 would equal 6 where does the \[8x ^{2}\] -2x-12 come from

Answer 15

how much time do you have? I got to go babysit, but I can get on my phone and help you more in about a half hour. Will that work? I see where you are confused, and I would love to keep helping you if you can wait that long.

Answer 16

ok i can

Answer 17

alright, I will get back to you as soon a I can

Answer 18

ok

Answer 19

Ok, my phone loads slow so let's see how this works

Answer 20

ok

Answer 21

i think you make a mistake on the \[8x ^{2}-8x+6x-12\]

Answer 22

shouldnt the second 8 be 16x

Answer 23

The first set of numbers is 4x-3 we need to take 4x and multiply it by each number in the second set of parenthesis. 4x times 2x then 4x times -4. Which gives you I had put -8x originally, but it is 16x

Answer 24

But it should be -16x

Answer 25

ok

Answer 26

so the answer is -6x

Answer 27

i got that answer from \[8x ^{2}-2x-12\]

Answer 28

im done in 1 hour

Answer 29

This phone thing sucks, ok so then you take the second number in the first set of parenthesis and multiply it by each of the members in the second set.
3 times 2x and then 3 times -4 which gives you 6x-12 which gives you 8x^2-16x+6x-12 you can only combine like terms. So the only further you can go is -16x+6x giving you -10x so the most simplified form is 8x^2-10x-12

Answer 30

ok so how would the next one go

Answer 31

would the answer be x+42

Answer 32

or x^2 +42

Answer 33

is that right

Answer 34

no
sorry just got back to a computer, should make this easier\[(x-7)(x+6), (x*x), (x*6), (-7*x)(-7*6)\]\[x ^{2}-7x+6x-42\]\[x ^{2}-x-42\]

Answer 35

that is as far as you can go with that one. Do you understand the steps I used to get there?

Answer 36

then the last one is (3a-7b)2
(2*3a) (2*-7b)
6a-14b

Answer 37

like terms is when the variables and the exponents are the same. so you cannot add or subtract x^2 with x but you can multiply and divide them.

Answer 38

ok i understand the one

Answer 39

ok thanxs

Answer 40

do you think you could help me with another one real quick

Answer 41

sure

Answer 42

ok the questons are
Solve Using Synthetic Division

1. (x2 - 4x - 12) divided by (x - 4)

2. (x3 + x2 - 9x - 9) divided by (x + 1)


3. (x2 - 3x + 2) divided by (x - 1)


4. (x3 - 2x2 - 22x + 40) divided by (x - 4)

Answer 43

ok i remember that i have done this before, but I don't remember how. How much time do you have, because I can look in my text book and figure it out, but it might take a while.

Answer 44

20 mins

Answer 45

yikes, I don't think i can do it that fast, but i'll give it a go.

Answer 46

if thats gonna take to long i have a nother assignment that i need help with

Answer 47

oh I got it, ok so you take away the variables for a minute. and use just the constants. so x^2 is 1 -4x is 4 then -12 is -12

Answer 48

so 12-12 is the Answer

Answer 49

so it will look like

Answer 50

then take -12 = 32 that will give you twenty this will look like

Answer 51

so your answer is \[x ^{2}-8x+20\]

Answer 52

i do not understand that at all

Answer 53

ok so you have (x-4) from the first problem that you need to divide into (x^2-4x-12) you take all of the consonants so you use -4 to divide into 1, -4, and -12. so you set it up like this