3(x-1) -2(x^2+3x+4)-5(x+9)=
Start by expanding the parentheses:
3(x-1) -2(x^2+3x+4)-5(x+9)
3x - 3 - 2x^2 - 6x - 8 - 5x - 45
Then collect terms of like degree:
-2x^2 + (3-6-5)x + (-3-8-45)
-2x^2 - 8x - 56
To solve the given expression, we need to simplify it by distributing the coefficients to their corresponding terms and then combining like terms. Here's the step-by-step solution:
1. Distribute the coefficients:
The expression is: 3(x-1) -2(x^2+3x+4)-5(x+9)
When we distribute 3 to (x-1), we get: 3x - 3
When we distribute -2 to (x^2+3x+4), we get: -2x^2 - 6x - 8
When we distribute -5 to (x+9), we get: -5x - 45
Now the expression becomes: 3x - 3 - 2x^2 - 6x - 8 - 5x - 45
2. Combine like terms:
Combining the x terms: 3x - 6x - 5x, we get: -8x
Combining the constants: -3 - 8 - 45, we get: -56
The simplified expression is: -2x^2 - 8x - 56
So, 3(x-1) - 2(x^2+3x+4) - 5(x+9) simplifies to -2x^2 - 8x - 56.