without actually calculating the cubes find the value of each of the following (-28)^3+(12)^3+(16)^3

-16128

Step-by-step explanation:

This expression can be calculated by algebraic means, whose process is described below:

1) Given.

2) Definition of addition.

3) Cubic perfect binomial.

4) Commutative property/

5) Distributive property//

6)

7) Existence of the additive inverse/Modulative property for addition.

8) /

9) Distributive property.

10)     /Definition of sum/Definition of multiplication/Result

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3