(S-3)(S^2-S-3)
multiply polynomials
To multiply the polynomials (S-3)(S^2-S-3), we can use the distributive property:
(S-3)(S^2-S-3) = (S)(S^2-S-3) + (-3)(S^2-S-3)
Now, we can simplify each term separately:
(S)(S^2-S-3) = S^3-S^2-3S
(-3)(S^2-S-3) = -3S^2+3S+9
Adding these simplified terms together, we get:
(S-3)(S^2-S-3) = S^3-S^2-3S-3S^2+3S+9
Combining like terms, we have:
S^3-4S^2+6S+9
Therefore, the product of (S-3)(S^2-S-3) is S^3-4S^2+6S+9.