Let's simplify the expression step by step:
4a(a-2) - (a+4)(2a-5) - 20
First, distribute 4a into the expression within the parentheses:
4a^2 - 8a - (a+4)(2a-5) - 20
Then, distribute the values in the second set of parentheses:
4a^2 - 8a - (2a^2 - 5a + 8a - 20) - 20
Now simplify by combining like terms:
4a^2 - 8a - 2a^2 + 5a - 8a + 20 - 20
Combining like terms:
2a^2 - 8a + 20 - 20
Finally, simplify the constant terms:
2a^2 - 8a
Therefore, the simplified expression is 2a^2 - 8a.
Let's simplify the expression step by step:
4a(a-2) - (a+4)(2a-5) - 20
First, distribute 4a into the expression within the parentheses:
4a^2 - 8a - (a+4)(2a-5) - 20
Then, distribute the values in the second set of parentheses:
4a^2 - 8a - (2a^2 - 5a + 8a - 20) - 20
Now simplify by combining like terms:
4a^2 - 8a - 2a^2 + 5a - 8a + 20 - 20
Combining like terms:
2a^2 - 8a + 20 - 20
Finally, simplify the constant terms:
2a^2 - 8a
Therefore, the simplified expression is 2a^2 - 8a.