Question

*simplify the following expression*

Answer 1

(\[(3y ^{2}-4y+2) + (4y ^{2}+4y-7)\]

Answer 2

@Jhannybean

Answer 3

5Y^2+-5

Answer 4

This can be done while ignoring the parenthesis, Since it is all subtraction and addition. Subtraction and additiion can be done in any order. I would recommend combining all like terms which would mean 3y^2+4y^2; as well as -4y+4y Let me know what you end up with after you combine all like terms

Answer 5

\[7y ^{2}-5\]

Answer 6

Correct. -4y+4y is equal to 0. But you leave the 0 out of the equation.

Answer 7

And -5 comes from adding positive 2 to negative 7.

Answer 8

thank you @Jamal5337

Answer 9

Glad to help!

Answer 10

can you help w/ another problem

Answer 11

Sure

Answer 12

\[(\frac{ 1 }{ 2 }g+3) (\frac{ 1 }{ 2 }g-3)\]

Answer 13

This one is a bit more complex, so give me a second please. Lol

Answer 14

take your time! thanks for helping out

Answer 15

Do you know what the Distributive Property is?

Answer 16

is I do.

Answer 17

Okay, so the fact that this problem has a fraction in it makes it easier.

Answer 18

You can multiple fractions straight across. 1/2 times 1/2 is 1/4, including the x on both sides, this would be 1/4 x^2

Answer 19

Next, with the 3 on the other side, lets make that a fraction as well. the 3 would become 3/1

Answer 20

Since fractions are multiplied straight across, you would multiple 1/2 by 3/1, which would be 3/2

Answer 21

So so far, we got 1/4g^2, and -3/2 after distributing 1/2 to both terms on the right side.

Answer 22

yes im following

Answer 23

Alright,

Answer 24

I just remember a much easier way to do this, now that I think about it. Haha, let me tell you,

Answer 25

lol ok im listening

Answer 26

So, (1/2x+3)(1/2x-3) is equal to (1/2x)(1/2x)+(1/2x)(-3)+(3)(1/2x)+3(-3) Let me break this down into terms.

Answer 27

1/2x times 1/2x is equal to 1/4x squared

Answer 28

1/2x times -3 is equal to 1/2x times -3/1 which would be -3/2x

Answer 29

3 (1/2x) is equal to positve 3/2x

Answer 30

and 3 (-3) is equal to 9. Are you following?

Answer 31

yes im following

Answer 32

So far we have 1/4x squared -3/2x +3/2x minus 9

Answer 33

-3/2x and 3/2x cancels each other out, so you're left with 1/4x squared minus 9

Answer 34

That is the answer, was you confused with any parts?

Answer 35

So we started off with (1/2x+3)(1/2x-3) and by using the distributive property, we ended up with 1/4x squared-9

Answer 36

\[\frac{ 1 }{ 4 }g+9\] that was not confusing at all! I understand thank you for going step by step !

Answer 37

Yup! Need help with anything else?

Answer 38

I forgot how to do the distributive property for a while, that's why it took so long, sorry about that.

Answer 39

It's funny because I was working on it last year.

Answer 40

yes I have just one more: \[(\frac{ 1 }{ 3xy ^{2} })^{-4}\]

Answer 41

Okay, this one looks a bit easier.

Answer 42

Ever head of Please Excuse my Dear Aunt Sally? The order of Operations?

Answer 43

Or another acronym for it?

Answer 44

yes of course :)

Answer 45

Alright; first, lets add the exponent to the fraction.

Answer 46

We will add the power of negative 4 to every single thing into the fraction first.

Answer 47

Not literally add, but we will insert it.

Answer 48

following

Answer 49

Actually, it would be better to state this first;

Answer 50

Since the exponent is negative, instead of everything being multiplied as normal (2 times 2 equal 4), we would do it differently.

Answer 51

Let's take for an example, 2^-2; This wouldn't be two times negative two

Answer 52

Instead, we would be Undoing the multiplication in this equation, and the answer would be 1/2

Answer 53

ok still following

Answer 54

4^-2 is equal to 1/4; 4^-3 is equal to 1/16

Answer 55

normal powers, you'd multiply it constantly, but this time, since its negative, you'd divide continuously.

Answer 56

Actually, I made a mistake, 4 to the negative 2nd power is 1/16

Answer 57

This is proven because 4^2 is equal to 16, just add a 1 above the 16

Answer 58

4^3 is 64

Answer 59

4^-3 is 1/64 you understand?

Answer 60

You're basically finding the reciprocal.

Answer 61

It's important that you know this before we move onto the problem, where it gets more complicated.

Answer 62

im following! Im totally understanding

Answer 63

Good, before we move onto the problem, lets look at exponents in equations examples,

Answer 64

4x^2/4x^4 would be equal to 4x^6 let me explain why

Answer 65

In Division problems, exponents can be added and simplified to simplify the answer.

Answer 66

Actually excuse me, we would subtract.

Answer 67

Correction, 4x^2/4x^4 is equal to 1/x^2

Answer 68

Lets stretch the equation out to make it look more noticable,

Answer 69

4 times x^2 divided by 4 times x^4

Answer 70

Since the 4 in the numerator and denominator are exactly the same, we can divide these alone and that would be equal to 1

Answer 71

That's where you'd get the one from top from

Answer 72

We can divide x^2 by X^4 and get x^2

Answer 73

from this, an imaginary one would be at top along with the 1 already there.

Answer 74

So it would be (1 times 1) Divided by (x^2). We can simplify this more by multiplying 1 and 1, to get the lone 1. Which would mean the answer is 1/x^2

Answer 75

You understand so far?

Answer 76

or any questions before we move onto the problem that you need help with?

Answer 77

I hope your still on....yes I understand