Match each expression with its verbal description.Tilesthe difference of x and 4, cubed, times 64 less than the 3rd power of the product of 6 and Xthe product of x cubed and 6, minus 4-4 less than 6x, cubed
Accepted Solution
A:
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 thatThe 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 Xwe know thatthe 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 4we know thatthe product of x cubed and 6 is [tex](6x^3)[/tex]minus 4 [tex](6x^3)-4[/tex]Part 4) 4 less than 6x, cubedwe know that4 less than 6x is ([tex](6x-4)[/tex]cubed is [tex](6x-4)^3[/tex]