Which expression is equivalent to (x-2/3)(x-5/6
To find the equivalent expression, we can start by using the distributive property to expand the expression:
(x - 2/3)(x - 5/6) = x(x) + x(-5/6) + (-2/3)(x) + (-2/3)(-5/6).
Simplifying further:
= x^2 - (5/6)x - (2/3)x + (10/18)
= x^2 - (15/18)x - (12/18)x + (10/18)
= x^2 - (27/18)x + (10/18).
So the equivalent expression is x^2 - (27/18)x + (10/18), or simplified as:
x^2 - (3/2)x + (5/9).