How do you simplify (x-3)^{2}-4(x-3)+3?

Quinten Crawford

Quinten Crawford

Answered question

2022-02-10

How do you simplify (x3)24(x3)+3?

Answer & Explanation

laiedkn

laiedkn

Beginner2022-02-11Added 15 answers

Explanation:
(x3)24(x3)+3
((x-3)-3)((x-3)-1)
(x-6)(x-4)
Bleadafat9om

Bleadafat9om

Beginner2022-02-12Added 13 answers

To simplify we need to multiply out the brackets:
(x3)24(x3)+3
=x26x+94x+12+3
=x210x+24
However, I suspect that the question was meant to be to factorise..
We could multiply out as done above and then factorise from this, but let's regard (x-3) as a variable, p.
(x3)24(x3)+3
p24p+3
=(p-3)(p-1)
(x33)(x31)
=(x-6)(x-4)

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