Which equation demonstrates the distributive property? A) 7(1 + 6) =7(6 + 1)
B) (7 x 1) x 6 = 7 x (1 x 6)
C) (7 x 1) x 6 =7 x (6 x 1)
D) 7(1 + 6) = (7 x 1) + (7 x 6)

D

Step-by-step explanation:

The distributive property takes place when you distribute what is outside of the parentheses into the parentheses, separating out the equation into easier to develop parts. D does this exactly.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."