To solve the expression 5b*(b-1)-(b-2)^2, we first need to expand the squared term:
(b-2)^2 = b^2 - 4b + 4
Now we can substitute this back into the original expression:
5b*(b-1) - (b^2 - 4b + 4)
Expanding the multiplication term:
5b^2 - 5b - b^2 + 4b - 4
Combining like terms:
4b^2 - b - 4
Therefore, the simplified expression is 4b^2 - b - 4.
To solve the expression 5b*(b-1)-(b-2)^2, we first need to expand the squared term:
(b-2)^2 = b^2 - 4b + 4
Now we can substitute this back into the original expression:
5b*(b-1) - (b^2 - 4b + 4)
Expanding the multiplication term:
5b^2 - 5b - b^2 + 4b - 4
Combining like terms:
4b^2 - b - 4
Therefore, the simplified expression is 4b^2 - b - 4.