Question

[_____]
a rectangle has a length of 2x^4+9 and a width of 3x

write area as expression and then simplify

thanks!

Answer 1

Area= length x width

Answer 2

Area= 2x^4+9 * 3x

Answer 3

Combine the like terms
(Multiply 2x^4 and 3x)

Answer 4

In order to multiply that, ask yourself:
What is 2*3?
What is x^4 * x ?

Answer 5

Once you do that, the answer is clear.
Do you need help with that?

Answer 6

6

Answer 7

Now what is x^4 * x?
Or do you need help with that?

Answer 8

help a lttle

Answer 9

x^4 * x^1 is the same thing as x^(4+1)

Answer 10

In other words, x^4 * x is x^5

Answer 11

so the finished simplfy looks like 6x^3+5x^2 ?

Answer 12

Where did you get "5x^2" from?

Answer 13

oh shoot idk

Answer 14

srry

Answer 15

Remember that to do this you have to multiply
2x^4+9 with 3x

Answer 16

We now know that 2x^4 times 3x is
6x^5

Answer 17

Now we need to multiply 9 with 3x.
What do you get?

Answer 18

27x

Answer 19

Good now combine those two terms

Answer 20

2x^4+27x^3 ?

Answer 21

To get an answer of 6x^5+27x

Answer 22

(Don't forget that we did "2x^4 times 3x" before. That's where the "6x^5" came from)

Answer 23

does 27x have a 3 exponent?

Answer 24

No

Answer 25

The answer could be further simplified to
6x^6+27 btw