Hope this helps helps with the answer to your question ;)
Answer:
r=3
Step-by-step explanation:
3(r - 7) = 4(2 - 2r) + 4
Distribute
3r -21 = 8 -8r +4
Combine like terms
3r -21 = 12 -8r
Add 8r to each side
3r +8r-21 = 12 -8r+8r
11r -21 = 12
Add 21 to each side
11r -21+21 =12+21
11r = 33
Divide each side by 11
11r/11 = 33/11
r = 3
Answer: The answer is 
Step-by-step explanation: Given expression is as follows
We are to write the above expression "E" as a product of two binomials and a monomial.
A monomial is an expression with a single term and a binomial is an expression with two terms.
So, let us start as follows -
Here,
Thus, the required factorisation is
Answer:
1. 1/2(x - 3)³
2. 3x/y²
Step-by-step explanation:
1. to simplify, we could just FOIL the equations out, but since this is a division, we can cancel out any common factors in the numerator and the denominator to make it easier
2(x - 3)³
----------
4(x- 3)^6
what do these two have in common? both have a (x - 3)³ to start off, so we can cancel out the (x - 3)³ in the numerator, and take the diference in the denominator which gives us (x - 3)³
2(x - 3)³ / (x - 3)³ = 2
4(x - 3)^6 / (x - 3)³ = 4(x - 3)³
so now we have:
2
-----
4(x - 3)³
we can simplify 2/4 and get 1/2 so now we have the following:
1
--------
2(x - 3)³
there is nothing else to simplify, so this is the final answer
2. to solve 8x/y² - 5x/y², we see they both have <em>like denominators</em>, this means that we can just combine the terms over one denominator and we get the following:
8x - 5x
----------
y²
we can subtract 5x from 8x because both have an x in them and are therefore able to be subtracted
8x - 5x = 3
so the final answer is 3x/y²
