Algebra 1 - Simplifying Expressions (will award and fan asap)

- anonymous

Algebra 1 - Simplifying Expressions (will award and fan asap)

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- anonymous

4ab + 7ba - 5 -3ba + 9 -2ab

- hysusonic

do you know how to combine like terms?

- anonymous

Yes. So I do that first? But ab and ba aren't like terms, right?

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## More answers

- hysusonic

i'm not 100% sure but i think the teacher put that to confuse you bc multiplication is multiplication no matter the order

- anonymous

Oh.. well I kinda gotta know for sure

- anonymous

@satellite73

- jim_thompson5910

like hysusonic is saying, ab = ba since you can multiply two numbers in any order

- jim_thompson5910

so -3ba is the same as -3ab

- anonymous

Oh ok! Thanks!

- anonymous

So can you draw out the steps so I can see how you simplify it?

- anonymous

I'm a visual learner

- jim_thompson5910

7ba would be equal to ???

- anonymous

huh? what are you asking? 7ab?

- jim_thompson5910

yes 7ab

- jim_thompson5910

so
`4ab + 7ba - 5 -3ba + 9 -2ab`
is the same as
`4ab + 7ab - 5 -3ab + 9 -2ab`

- jim_thompson5910

|dw:1446948863848:dw|

- anonymous

omg thats so helpful

- jim_thompson5910

|dw:1446948872061:dw|

- anonymous

so in total 6ab?

- jim_thompson5910

|dw:1446948899099:dw|

- jim_thompson5910

yes if you combine all the terms with "ab" in them, then you get 6ab

- anonymous

Ok wait so the answer is 6ab -4?

- jim_thompson5910

very close

- anonymous

+4

- jim_thompson5910

the constant terms are -5 and +9
they combine to +4

- jim_thompson5910

yes so you'll have 6ab + 4

- anonymous

You're so helpful! ok I have another question can you help?

- jim_thompson5910

sure go ahead

- anonymous

\[-4 ^{2} - (-2) ^{3} - (-2) ^{2} + \sqrt[3]{27} \]

- jim_thompson5910

the small 2 up top means "square"
when you square a number, you multiply it by itself twice
in this case, \(\Large 4^2 = 4*4 = 16\)
so \(\Large -4^2 = -16\)

- jim_thompson5910

the small 3 is like squaring, but it's called "cubing"
cubing a number means you multiply the number by itself 3 times
\[\Large (-2)^3 = (-2)*(-2)*(-2) = 8\]

- jim_thompson5910

make sense so far?

- anonymous

yup

- jim_thompson5910

any guesses as to what \(\LARGE \sqrt[3]{27}\) means?

- jim_thompson5910

it's similar to a square root

- anonymous

is the answer 9?

- jim_thompson5910

no

- anonymous

I have no idea lol

- jim_thompson5910

\(\LARGE \sqrt[3]{27}\) means the cube root of 27
what number, when you multiply it by itself three times, gives you 27?

- anonymous

3?

- jim_thompson5910

yes, so \(\LARGE \sqrt[3]{27} = 3\)

- anonymous

oh ok

- anonymous

so can you draw out how I would simply the equation?

- anonymous

simplify*

- anonymous

I'll do the problem too so we can see if we get the same answer

- jim_thompson5910

so \(\Large -4 ^{2} - (-2) ^{3} - (-2) ^{2} + \sqrt[3]{27}\) turns into \(\Large -16 - (-8) - 4 + 3\)
sorry I made a typo earlier I meant to say \(\Large (-2)^3 = (-2)*(-2)*(-2) = -8\)

- anonymous

yes, i have that so far

- anonymous

can it be simplified any further?

- jim_thompson5910

−16−(−8)−4+3 then turns into −16+8−4+3
I'll let you finish up

- anonymous

-9?

- jim_thompson5910

yep that's the final answer

- anonymous

great!!!

- anonymous

I have a few more questions but I'll tag you when I get to them ok?

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