Question

Choose the correct simplification of the expression (3x − 6)(2x^2 − 4x − 5).

Answer 1

@MATTW20

Answer 2

hold on i posted the wrong one

Answer 3

ok

Answer 4

Choose the correct simplification of the expression (5xy^5)2(y^3)4.

Answer 5

treat each of them separately at first

Answer 6

what's (5xy^5)^2

Answer 7

5xy^7

Answer 8

well when you're raising exponents to another power you multiply them remember? Also what about 5 and x don't those change as well?

Answer 9

I'm confused??

Answer 10

so you know the rule (x^a)^b=x^a*b

Answer 11

No?

Answer 12

the power rule for exponents. you don't know that?
so for example \[(y ^{5})^{2}=y ^{5*2}\]

Answer 13

ohhh yea

Answer 14

ok so also when an expression is in parentheses and is being raised to an exponent like in the case we have here \[(5xy ^{5})^{2}\] everything inside the parentheses gets raised to that power so \[(5xy ^{5})^{2}=5^{2}x ^{2}y ^{5*2}\]

Answer 15

make sense

Answer 16

Yea it does

Answer 17

so the answer to that part would be \[25x ^{2}y ^{10}\] but now we need to simplify the other half of the original equation

Answer 18

i got 25x^2y^7

Answer 19

oh okay ur supposed to multiply them

Answer 20

you have to multiply the last one not add

Answer 21

then how do you simplify

Answer 22

getting there

Answer 23

okay

Answer 24

so let's simplify the other half. Can you simplify \[(y ^{3})^{4}\]

Answer 25

y^12

Answer 26

awesome so now we have \[25x ^{2}y ^{10}*y ^{12}\]

Answer 27

what happens when you multiply variables with exponents?

Answer 28

don't you have to add like terms?

Answer 29

you add the exponents of like terms that is correct

Answer 30

so it'd be