what is (x-3)^2
(x-3)^2 is the squared expression of x-3.
Using the formula for squaring a binomial, (a+b)^2 = a^2 + 2ab + b^2, we can simplify (x-3)^2 as follows:
(x-3)^2 = (x-3)(x-3)
= x(x) + x(-3) - 3(x) + (-3)(-3)
= x^2 - 3x - 3x + 9
= x^2 - 6x + 9
To find the expression (x-3)^2, you need to expand it. This can be done by multiplying the expression by itself (x-3)(x-3). Using the FOIL method (First, Outer, Inner, Last), you can multiply the terms as follows:
(x - 3)(x - 3)
= x*x + x*(-3) + (-3)*x + (-3)*(-3)
= x^2 - 3x - 3x + 9
= x^2 - 6x + 9
Therefore, (x-3)^2 is equal to x^2 - 6x + 9.