Question

Find the value of the polynomial:
4x^6y^3–3x^6y^3+2x^2y^2–x^6y^3–x^2y^2+y
x = −2, y = −1

Answer 1

3

Explanation:

Terms combine to simplify the expression somewhat.

... = x^6y^3·(4 -3 -1) +x^2y^2·(2 -1) +y

... = x^2y^2 +y

... = (xy)^2 +y

For your given values, this is ...

... ((-2)(-1))^2 +(-1)

... = 2^2 -1 = 3