Question

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Answer 1

similar process as before, use the distributive property to multiply

(-2x^3 + x-5) * (x^3-3x-4)

Answer 2

-2x^3 * x^3 = ?

Answer 3

-2x^9 ?

Answer 4

almost

for multiplying the same base, add the exponents

so it's -2x^6 not -2x^9

Answer 5

-2x^3 * (-3x) = ?

Answer 6

oo ok,
6x^4

Answer 7

good

(-2x^3)*(-4) = ?

Answer 8

8x^3

Answer 9

good, now we distribute the next term

Answer 10

x*x^3 = ?

Answer 11

x^4

Answer 12

awesome

x * (-3x) = ?

Answer 13

-3x^2

Answer 14

good

x * (-4) is just -4x, let's now move to the last term

Answer 15

ok

Answer 16

I'm going to presume that you can multiply a constant * a variable so:

-5^3
15x
and 20 are the last terms after we distribute, now we add everything together + combine like terms

Answer 17

*-15x sorry

Answer 18

now, from the top:

-2x^6 + 6x^4 + 8x^3 + x^4 - 3x^2 - 4x - 5x^3 + 15x - 20

combine like terms (there are only two pairs of like terms thankfully) then re-write in standard form

Answer 19

well three pairs actually

Answer 20

8x^3 and 5x^3?

Answer 21

6x^4 and x^4?

Answer 22

4x and 15x

Answer 23

good, now combine like terms (be careful with positive/negative signs though)

Answer 24

40x^6
6x^8
60x^2

Answer 25

careful, when you're adding/subtracting like terms you don't change the exponents

6x^4 + x^4 = ?

Answer 26

6x^4

Answer 27

did i get the signs right when i first told you the like terms?

Answer 28

if you look at the equation

-2x^6 + 6x^4 + 8x^3 + x^4 - 3x^2 - 4x - 5x^3 + 15x - 20


notice how some of the terms have - signs in front of them - that has to be taken into account when adding/subtracting like terms

Answer 29

anyway, 6x^4 + x^4 = is not 6x^4

think of it like adding 6 + 1 = 7

Answer 30

7x^4?

Answer 31

awesome

what about 8x^3 - 5x^3 = ?

Answer 32

13x^6

Answer 33

remember, when we are adding/subtracting like terms, we leave the terms alone (x^3 stays as x^3)

think of it like subtracting 8 - 5

Answer 34

13x^3, sorry

Answer 35

8 - 5 is not 13

Answer 36

oops, sorry. 3x^3

Answer 37

good

what about -4x + 15x = ?

Answer 38

-19x

Answer 39

-4 + 15 = ?

Answer 40

sorry, -11x

Answer 41

awesome so putting it all together:

-2 x^6 + 7 x^4 + 3 x^3 - 3 x^2 + 11 x + 20

is your answer for part A)

Answer 42

for part B) notice how they just swapped the order of multiplication (A*B vs B*A) so since multiplication is commutative the products are equal

and that's it

Answer 43

wow, ok thank you!!!

Answer 44

@Vocaloid
when you said, -2 x^6 + 7 x^4 + 3 x^3 - 3 x^2 + 11 x + 20 is the answer for part A, why are there spaces between the number and when it goes before x. For example, -2 x^6, and 7 x^4

Answer 45

you can ignore the spaces, it's just the program I'm using

Answer 46

ohh alright lol