Question

The variables a, b, and c represent polynomials where a = x2, b = 3x 2, and c = x – 3. what is ab – c2 in simplest form? 3x3 2x2 – x 3 3x3 2x2 – x – 3 3x3 x2 – 6x 9 3x3 x2 6x – 9

Answer 1

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

We have given that,

a = x^2,

b = 3x + 2,

c = x – 3

We have to determine ab- c^2.

What is the meaning of the simplest form?

A fraction is in its simplest form when the numerator and the denominator have no common factors besides one.

ab- c^2

$=x^2(3x+2) - (x-3)^2\\ =3x^3 + 2x^2 - (x^2 - 6x + 9) \\=3x^3 + 2x^2 - x^2 + 6x - 9 \\=3x^3 + x^2 + 6x - 9$

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

To learn more about the simplest form visit:

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