Expand and simplify the following: -5(-2x-6)(x+6)
To expand and simplify the given expression, we will first distribute the -5 across the terms inside the parentheses:
-5(-2x-6)(x+6)
= -5 * -2x * (x+6) - 5 * -6 * (x+6)
= 10x(x+6) + 30(x+6)
Now, we can distribute 10x and 30 across the terms inside the parentheses:
= 10x*x + 10x*6 + 30x + 30*6
= 10x^2 + 60x + 30x + 180
Combining like terms, we get:
= 10x^2 + 90x + 180
Therefore, the expression -5(-2x-6)(x+6) simplifies to 10x^2 + 90x + 180.