Getting the product of two rationals is like multiplying two
fractions, which will have another fraction of this alike form as the result because
integers are sealed under multiplication. All rational number can be signified
as q/r, with q and r are both integers. Another explanation is the product of
two rational numbers is q/r * s/t, with q, r, s, and t are integers.
Nonetheless, this is just (qs)/(rt), and qs and rt are both results of integers
and hence integers themselves. The product of two rational numbers can be
characterized as the quotient of two integers and is itself rational.
Therefore, multiplying two rational numbers yields another rational number.
The subtraction gives -7x^2( x + 1) - 3
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions are expressions that are made up of factors, terms, variables and constants.
They also consist of arithmetic operations.
We have to subtract (6x^3 − x^2 + 8x + 5) from (−x^3 − 9x^2 + 2)
It is written as;
(−x^3 − 9x^2 + 2) - (6x^3 − x^2 + 8x + 5)
−x^3 − 9x^2 + 2 - 6x^3 + x^2 - 8x - 5
collect like terms
-x^3 - 6x^3 - 9x^2 + x^2 + 2 - 5
Add like terms
-7x^3 - 7x^2 - 3
To simply further
-7x^2( x + 1) - 3
Thus, the subtraction gives -7x^2( x + 1) - 3
Learn more about algebraic expressions here:
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45*14 = 630
630ml of hardener should be added to 14 bottles of resin
Answer:

Step-by-step explanation:
There are two variables, q and r in the expression given. To make r the independent variable, it simply means, make q the subject of the formula, so that variable q would be dependent on variable r. As r changes, q changes also.
Thus,

Open the parenthesis

Add 10 to both sides


