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Question 250875: perform operation simplify
(x-3)^3
Answer by morganjd(5)   (Show Source):
You can put this solution on YOUR website! Your equation to simplify: (x-3)^3.
Cubing an expression is the same as multiplying the expression by itself 3 times.
(x-3)(x-3)(x-3)
Multiply each term in the first group by each term in the second group using the FOIL method. FOIL stands for First Outer Inner Last, and is a method of multiplying two binomials. First, multiply the first two terms in each binomial group. Next, multiply the outer terms in each group, followed by the inner terms. Finally, multiply the last two terms in each group.
(x (x) + x(-3) – 3(x) – 3(-3))(x-3)
Simplify the FOIL expression by multiplying and combining all like terms.
(x^2-6x+9)(x-3)
Multiply each term in the first polynomial by each term in the second polynomial.
x^2(x) + x^2(-3) – 6x(x) - 6x(-3) +9(x) +9(-3)
Multiply each term in the first polynomial by each term in the second polynomial.
(x^3 – 9x^2 +27x – 27)
Remove the parentheses around the expression.
Answer: x^3 – 9x^2 + 27x - 27
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