2. multiply the x and the 9 by 4 to get 4x + 36

3. multiply the y and the 20 by 5 to get 5y + 100

4. since you’re multiplying two numbers by 0 then adding them, the answer is 0

5. multiply the s and the t by r to get rt+st

6. multiply the 5, 8, and 9 by the 3 to get 15 + 24+27= 66

how that works is that the “Distributive Property for Multiplication over Addition or Subtraction” allows you to get rid of the parentheses. Just as an example:

when you have 2(3+4), you could solve it using order of operations (pemdas) and simplify it to 2 * 7,then do that multiplication to get 14, or you can use the distributive property to get [(2*3)+(2*4)]then multiply the parentheses to get 6 +8, or 14.

both ways you get the same answer, but when you have variables (letters) in the problem, you can’t just add the values in the expression. example:

2(x+3) you cant add 3 and x, so you use the distributive property to get 2x and 6, for an answer of 2x+6

The important thing to remember is that the distr. prop. only works when you have multiple values within parentheses SEPARATED BY + or -. ex: 2(2+x) [answer 2x +4] NOT 2(2*3*4) [answer 48, but if you used the distr. prop. you would get 4*6*8, which is totally wrong.]

(X x 4) + (4 x 9)

(Y x 5) + (5 x 20)

(X x 0) + (0 x 12)

(R x S) + (R x T)

(3 x 5) + (3 x 8) + (3 x 9)

Kind of self-explanatory. Make two pairs of parenthesis, put the multiplier in each one, along with a number/letter from the original parenthesis.

EDIT: And to avoid confusion, Avi is incorrect and ajsolo simply answered the equation, rather than putting it in the form, like you want to do.

4(x+9)= 4x + (4 x 9)

5(y+20)= 5y+ (5 x 20)

0(x+12)= (0 x X) + (0 x 12)

r(s+t)= rs+ rt

3(5+8+9)=(3 x 5) + (3 x 8) + (3 x 9)

http://www.math-videos-online.com

9(8+7)

9 x 8 = 72

9 x 7 = 63

72+ 63 = 135

135

theres the first one for u!

good luck!

2. 4(x+9)=x(4+9)

3.5(y+20)=y(5+20)

4.0(x+12)=x(0+20)

5.r(s+t)=s(r+t)

6.3(5+8+9)=5(3+8+9)

just switch two of the numbers and create a new equation.

You multiply the number OUTSIDE the bracket by each term inside the bracket and use whatever math function is inside the bracket

5(x-y) for example means to first multiply 5 times x and then subtract 5 times y

so 5x-5y

in your question 5(y+20)

first multiple 5times y and add 5 times 20

5y+100

> in #2. since you cant simplify further the #s inside the grouping symbol..ofcouse you cant add x and 9.. so proceed mow to multiplication..

its like this….

4(x+9)

4 times x plus 4 times 9.. simply distribute it..

the answer will be 4x + 36.

you may practice answering the other so that you will master it!!

goodluck!!

hope you understand i my explaination.