Question

Simplify the Expression below; z^3+7z^2 +z+z^2+2 z+3 ​

Answer 1

z^3 + 8 z^2 + 3 z + 3

Explanation:

Simplify the following:

z^3 + 7 z^2 + z^2 + 2 z + z + 3

Grouping like terms, z^3 + 7 z^2 + z^2 + 2 z + z + 3 = z^3 + (7 z^2 + z^2) + (z + 2 z) + 3:

z^3 + (7 z^2 + z^2) + (z + 2 z) + 3

7 z^2 + z^2 = 8 z^2:

z^3 + 8 z^2 + (z + 2 z) + 3

z + 2 z = 3 z:

Answer: z^3 + 8 z^2 + 3 z + 3