Question

Use the distributive property to multiply. Then, if possible, simplify the resulting expression.

-1(a+b)

Answer 1

\(\large\color{black}{-1(\color{red}{a}+\color{blue}{b})~~~~~~~~~~~~~~~~~~\Rightarrow~~~~~~~~~~~~~~(-1)\times \color{red}{a} ~~~+~~~(-1)\times \color{blue}{b}}\)

Answer 2

so how would you distribute this expression?

Answer 3

a+b?

Answer 4

no, please try again.... if you don;t understand what I told you in my first reply, then say so please

Answer 5

i dont understand

Answer 6

lets start from very little:
when I say: \(\large\color{blue}{ab}\) do you know that I mean \(\large\color{blue}{a \times b}\) by that?

Answer 7

just asking you, if you know that \(\large\color{blue}{ab}\) is same as \(\large\color{blue}{a \times b}\) ?

Answer 8

yes its a different form for same thing

Answer 9

yes.

Answer 10

So if we have: \(\large\color{blue}{x(v+d)}\)
then we distribute it to,
\(\large\color{blue}{xv+xd}\)

Answer 11

now, if you had, \(\large\color{blue}{-1(a+b)}\) , what would you then be getting?

Answer 12

-1a+-1b?

Answer 13

yes, but that can be written simpler

Answer 14

\(\large\color{blue}{-1a}\) is same as \(\large\color{blue}{-a}\).
\(\large\color{blue}{+-1b}\) is same as \(\large\color{blue}{-b}\).

Answer 15

it will be -a+-b?

Answer 16

yes, \(\large\color{black}{ -a+-b }\), which is same as \(\large\color{black}{ -a-b }\)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
because for any 2 numbers \(\large\color{black}{ d }\) and \(\large\color{black}{ v }\)
\(\large\color{black}{ d+-v=d-v }\)

Answer 17

ok, how do I use distributive property to simplify this one ?
24(x/3-1/8)?

Answer 18

so you are done with the previous problem already...

Answer 19

\(\large\color{black}{ 24 \left(\begin{matrix} \frac{\LARGE x}{\LARGE 3} -\frac{\LARGE 1}{\LARGE 8} \\ \end{matrix}\right) }\)

Answer 20

1st find the common denominator and subtract the fractions.
then multiply the fraction you got (inside the parenthesis) times 24.

Answer 21

yes this is the correct one

Answer 22

okay, and what do you get when you subtract the fractions inside the parenthesis?

Answer 23

(the least common denominator between 3 and 8, is 24)

Answer 24

Do you need help subtraction this: \(\large\color{black}{ \frac{\LARGE x}{\LARGE 3} -\frac{\LARGE 1}{\LARGE 8} }\) ?

Answer 25

x/5

Answer 26

Do you need help subtraction this: \(\large\color{black}{ \frac{\LARGE x}{\LARGE 3} -\frac{\LARGE 1}{\LARGE 8} }\) ?

Answer 27

yes

Answer 28

\(\large\color{black}{ \frac{\LARGE x}{\LARGE 3}- \frac{\LARGE 1}{\LARGE 8} }\)

\(\large\color{black}{ \frac{\LARGE 8x}{\LARGE 24}- \frac{\LARGE 3}{\LARGE 24} }\)

Answer 29

oh ok u did cross mulitply

Answer 30

multiplied:
~ top & bottom of first fraction times 8
~ top & bottom of the second fraction times 3

(no cross multiplication)

Answer 31

and then u used the common denominator?

Answer 32

yup, so what do I get?

Answer 33

5x?

Answer 34

\(\large\color{black}{ \frac{\LARGE x}{\LARGE 3}-\frac{\LARGE 1}{\LARGE 8}=\frac{\LARGE 8x}{\LARGE 24}-\frac{\LARGE 3}{\LARGE 24}=\frac{\LARGE 8x-3}{\LARGE 24} }\)

Answer 35

then multiply times 24

Answer 36

\(\large\color{black}{ 24 \times \frac{\LARGE 8x-3}{\LARGE 24} }\)

Answer 37

\(\large\color{red}{ 24 }\)s cancel, you get?

Answer 38

5

Answer 39

no

Answer 40

1/5