How do you find the product of (x-3)^{2}?

Gabriel Marks

Gabriel Marks

Answered question

2022-02-08

Find the product of (x3)2?

Answer & Explanation

Jaden Petersen

Jaden Petersen

Beginner2022-02-09Added 15 answers

From here we can just FOIL; first, outer, inner, last. Multiply the first term in the first bracket (x), by the FIRST term in the second bracket (x), giving us x2
We then combine the two terms that are INNERmost, which are once more -3 and x, to get -3x once more.
We then multiply the INNERmost terms together, which are again -3 and x, giving us -3x again. 
Finally we multiply the LAST term in the first bracket by the last term of the second, giving us -3* -3, or 9. Then we simply write these out, in order: 
x23x3x+9 
Collect like terms: 
x26x+9

iloverayyeb

iloverayyeb

Beginner2022-02-10Added 14 answers

Let's say A=x-3 (this is to help you understand).
So then we would have A2, which gets you A\times A.
Now let's apply that back into the original problem.
(x3)2=(x3)×(x3)=(x3)(x3)
We can use the Distributive Property to make this more easily readable:
x(x-3)+(-3)(x-3)
Simplify by re-applying Distributive Property:
x(x)+x(-3)+(-3)(x)+(-3)(-3)
And multiply...
x2+(3x)+(3x)+9=x36x+9

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