(-2d2+6d+1)-2(4d2-3d+1)
Apply the distributive property.
-2d2+6d+1-2(4d2)-2(-3d)-2⋅1
Simplify.
Multiply 4 by -2.
-2d2+6d+1-8d2-2(-3d)-2⋅1
Multiply -3 by -2.
-2d2+6d+1-8d2+6d-2⋅1
Multiply -2 by 1.
-2d2+6d+1-8d2+6d-2
-2d2+6d+1-8d2+6d-2
-2d2+6d+1-8d2+6d-2
Subtract 8d2 from -2d2.
-10d2+6d+1+6d-2
Add 6d and 6d.
-10d2+12d+1-2
Subtract 2 from 1.
-10d2+12d-1
-10d2+12d-1
Simplify (-2d^2+6d+1)-2(4d^2-3d+1)