Subtract the polynomials. Simplify, if possible.
6x^2−(-x^2-14)=
To subtract the polynomials, we need to distribute the negative sign to each term inside the parentheses:
6x^2 - (-x^2) - (-14)
This simplifies to:
6x^2 + x^2 + 14
Now we can combine like terms:
6x^2 + x^2 = 7x^2
Therefore, the simplified expression is:
7x^2 + 14
subtract the polynomials
(7/9 x-3/4 v)-3/14)-(5/9 x + 1/2 v)
To subtract the polynomials, we need to combine like terms.
First, let's simplify each term individually:
(7/9 x - 3/4 v) - (3/14) = 7/9 x - 3/4 v - 3/14
(5/9 x + 1/2 v)
Now, let's combine like terms:
7/9 x - 3/4 v - 3/14 - 5/9 x - 1/2 v
Since the variables and exponents match, we can combine the x and v terms:
7/9 x - 5/9 x - 3/4 v - 1/2 v
To combine the x terms, we need a common denominator, which is 9.
So, we have:
(7x/9 - 5x/9) - 3v/4 - 2v/4
This simplifies to:
2x/9 - 5v/9 - 3v/4
Now let's combine the v terms. We need a common denominator of 36:
2x/9 - 5v/9 - (3v/4) * (9/9)
This simplifies to:
2x/9 - 5v/9 - 27v/36
Combining the v terms, we have:
2x/9 - (5v + 27v)/36
Simplifying the numerator:
2x/9 - 32v/36
Now we need to find a common denominator of 36:
(2x - 32v)/36
So, the simplified expression is:
(2x - 32v)/36
Write in simplest form
To write the expression (2x - 32v)/36 in simplest form, we can simplify the numerator by factoring out 2 from both terms:
(2(x - 16v))/36
Now, we can divide both terms in the numerator and denominator by 2:
(x - 16v)/18
Therefore, the simplest form of the expression is (x - 16v)/18.
wrong
Apologies for the mistake.
To write the expression (2x - 32v)/36 in simplest form, we can simplify both the numerator and denominator by dividing them by the greatest common divisor (GCD) of 2x and 32v, which is 2.
(2x - 32v)/36 = (2(x - 16v))/36
Next, we can further simplify by dividing both the numerator and denominator by their GCD, which is 2:
(2(x - 16v))/36 = (x - 16v)/18
Therefore, the simplest form of the expression is (x - 16v)/18.
still wrong
Apologies for the previous incorrect response.
To write the expression (2x - 32v)/36 in simplest form, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2.
(2x - 32v)/36 = (2(x - 16v))/(2*18)
Now, cancel out the 2 in the numerator and denominator:
(2(x - 16v))/(2*18) = (x - 16v)/(2*18)
Simplify further:
(x - 16v)/(2*18) = (x - 16v)/36
Hence, the simplest form of the expression is (x - 16v)/36.
Find the difference of
4a^3+3a-14
and
6a^2+5a+10