Answer:
Part 1) [tex]6(x-4)^3[/tex]
Part 2) [tex](6x)^3-4[/tex]
Part 3) [tex](6x^3)-4[/tex]
Part 4) [tex](6x-4)^3[/tex]
Step-by-step explanation:
Part 1) The difference of x and 4, cubed, times 6
we know that
The difference of x and 4 is [tex](x-4)[/tex]
cubed is [tex](x-4)^3[/tex]
times 6 is [tex]6(x-4)^3[/tex]
therefore
[tex]6(x-4)^3[/tex]
Part 2) 4 less than the 3rd power of the product of 6 and X
we know that
the product of 6 and X is [tex](6x)[/tex]
the 3rd power is [tex](6x)^3[/tex]
4 less is [tex](6x)^3-4[/tex]
therefore
[tex](6x)^3-4[/tex]
Part 3) the product of x cubed and 6, minus 4
we know that
the product of x cubed and 6 is [tex](6x^3)[/tex]
minus 4 [tex](6x^3)-4[/tex]
Part 4) 4 less than 6x, cubed
we know that
4 less than 6x is ([tex](6x-4)[/tex]
cubed is [tex](6x-4)^3[/tex]
