Question

Find the product of (x − 3)^2
x^2-9?

Answer 1

\[(x - 3)^2 \times (x^2 -9)\] ?

Answer 2

the question is the first line i just wanna know if my answer is correct on the second line?

Answer 3

\[(x -3)^3 \times (x +3)\]
Note. If the question is the one I supposed

Answer 4

yes but not the exponent of 3

Answer 5

\[x^2 -9 = (x-3)(x+3)\]

Answer 6

then I get
\[(x-3)(x+3)^3\]

Answer 7

http://www.wolframalpha.com/input/?i=%28x+-3%29^3+%28x+%2B3%29

Answer 8

So your question is \[(x-3)^2=(x-3)(x-3)\] this can be broken down further so you can see where I am getting the answer from of \[(x-3)(x-3)=x \times (x-3)-3 \times (x-3)\] taking the first terms on the RHS we have \[x(x-3)=x \times x +x \times (-3) = x^2 -3x \] and \[-3(x-3) = -3 \times x + (-3) \times (-3)=-3x +9\] Putting this together then you have \[(x-3)(x-3)=x^2-3x-3x+9=x^2-6x+9\]