00:01
And our problem, we are given the two polynomials of 2r squared minus 3rs minus 2s squared plus 5r cubed minus 3rs and i stab them together.
00:14
Now, this problem touches on the concept of polynomials and adding or subtracting polynomials.
00:20
If you didn't know, polynomials are a combination of monomials.
00:25
And monomials are algebraic expressions in a form amx with x.
00:30
Representing exponent, m representing variables, and a representing coefficients.
00:35
If we look at the first monomonomial and our first polynomial, 2r squared, you see that a coefficient is 2, m our variable is r and x exponent is 2.
00:46
Now, because each of our polynomials are in parentheses and separated by a sign, we have to focus on whether this sign is positive or negative.
00:54
Because depending on the sign, we might have to change the signs, the operation signs, of the monomials in our sense.
01:00
Second parentheses.
01:01
However, because it's positive and not negative, we don't have to worry about changing the signs.
01:07
Now we can move on to combining like terms.
01:09
Like terms are in a case of mononomials are mononomials that share the same variable and exponent...