Question
Simplify the expression
4z2−12zx+12z+9x2+6x+1−12x2z2
Evaluate
(2z−3x−1)2−4(3x2z2−3z−z)
Subtract the terms
More Steps

Evaluate
3x2z2−3z−z
Subtract the terms
More Steps

Evaluate
−3z−z
Collect like terms by calculating the sum or difference of their coefficients
(−3−1)z
Subtract the numbers
−4z
3x2z2−4z
(2z−3x−1)2−4(3x2z2−4z)
Expand the expression
4z2−12zx−4z+9x2+6x+1−4(3x2z2−4z)
Expand the expression
More Steps

Calculate
−4(3x2z2−4z)
Apply the distributive property
−4×3x2z2−(−4×4z)
Multiply the numbers
−12x2z2−(−4×4z)
Multiply the numbers
−12x2z2−(−16z)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−12x2z2+16z
4z2−12zx−4z+9x2+6x+1−12x2z2+16z
Solution
More Steps

Evaluate
−4z+16z
Collect like terms by calculating the sum or difference of their coefficients
(−4+16)z
Add the numbers
12z
4z2−12zx+12z+9x2+6x+1−12x2z2
Show Solution
