Question

(8x^2+17x)+6x^2=
explain/check answer

Answer 1

if you have terms to the same power like ax2 you can add them together

Answer 2

Ax^2 + Bx^2 = (A+B)x^2

Answer 3

hold on let me get a calculator

Answer 4

eight plus 6

Answer 5

what about 17???

Answer 6

\[8x^2 + 17x + 6x^2 = 14x^2 + 17x\]

Answer 7

you can combine terms with the same power

Answer 8

would it be 31^5???

Answer 9

what does it = to 0?

Answer 10

or you just simplifying

Answer 11

it just says to find the sum

Answer 12

then you are just simplifying

Answer 13

Yep.

Answer 14

okay so was my answer right?

Answer 15

Just combine the terms that have the same powers on the x's

Answer 16

so is it 31^5????

Answer 17

where did you get 31?

Answer 18

i added all of the x's together

Answer 19

\[8x^2 + 6x^2 = 14x^2\]

Answer 20

you add the coefficients of the like terms, x^2

Answer 21

the powers do not add

Answer 22

14x^2+17x right?

Answer 23

correct

Answer 24

and so they multiply?

Answer 25

that is all you can do

Answer 26

no i meant the exponents

Answer 27

the exponents multiply, if you have something like this

Answer 28

ohh so if they are different i add?

Answer 29

\[[x^2]^2 = x ^{2*2} = x^4\]

Answer 30

A power to a power , you multiply the powers

Answer 31

You add the powers in this case....

Answer 32

\[x^2 * x^2 = x ^{2+2} = x^4\]

Answer 33

oh okay i got it, thank you

Answer 34

we are just adding terms here, not multiplying them

Answer 35

so you just add the coefficients in front of the x^2 and keep the same power

Answer 36

\[8x^2 + 17x +6x^2 = [8x^2 + 6x^2] +7x = (8+6)x^2 +7x = 14x^2 + 7x\]

Answer 37

that is the summary