Final answer:
The problem (x-10)(x-2) is equivalent to the expression x^2 - 12x + 20.
Step-by-step explanation:
This problem is equivalent to the expansion of the expression (x - 10)(x - 2). To solve this problem, we will use the distributive property, which states that for any real numbers a, b, and c, a(b + c) = ab + ac. We will apply this property to each term in the expression:
(x - 10)(x - 2) = x(x) - x(2) - 10(x) + 10(2)
Expanding further:
x^2 - 2x - 10x + 20
Combining like terms:
x^2 - 12x + 20
Therefore, the simplified form of the expression (x - 10)(x - 2) is x^2 - 12x + 20.