Multiply: 8r + 16 / 24r - 24 * 6r - 6 / 3r + 6
a) 2/3r
b) 2/3
c) 2
d) 2(r + 2) / 3r
b
(8r+16)/(24r-24)*(6r-6)/3r+6), FACTOR:
8(r+2)/24(r-1)*6(r-1)/3(r+2),
8/24*6/3=1/3*2/1=2/3
thanks
To multiply the given expression, we need to follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
Let's break down the expression step by step:
8r + 16 / 24r - 24 * 6r - 6 / 3r + 6
Step 1: Simplify within parentheses (if any)
There are no parentheses in the expression, so we move on to the next step.
Step 2: Simplify exponents (if any)
There are no exponents in the expression, so we move on to the next step.
Step 3: Perform multiplication and division (from left to right)
First, let's simplify 16 / 24 using division:
8r + (16 / 24)r - 24 * 6r - 6 / 3r + 6
8r + (2/3)r - 24 * 6r - 6 / 3r + 6
Next, let's simplify 24 * 6r:
8r + (2/3)r - 144r - 6 / 3r + 6
Finally, let's simplify 6 / 3r:
8r + (2/3)r - 144r - (6 / 3)r + 6
8r + (2/3)r - 144r - 2r + 6
Step 4: Perform addition and subtraction (from left to right)
Now, let's combine like terms:
(8r - 144r) + ((2/3)r - 2r) + 6
-136r + ((2/3)r - 2r) + 6
Since (2/3)r can also be written as 2r/3, let's rewrite it:
-136r + (2r/3 - 2r) + 6
To combine (2r/3 - 2r), we need a common denominator of 3. Multiply 2r by 3/3:
-136r + (2r/3 - (2r * 3/3)) + 6
-136r + (2r/3 - 6r/3) + 6
-136r + (2r - 6r) / 3 + 6
Now, simplify (2r - 6r) / 3:
-136r + (-4r) / 3 + 6
-136r - (4/3)r + 6
Finally, let's simplify (-4/3)r + 6:
-136r - (4/3)r + 6
(6 - (4/3))r - 136
(18/3 - 4/3)r - 136
(14/3)r - 136
The final expression is (14/3)r - 136.
Therefore, the correct answer is not provided.