Subtraction of polynomials

**Subtraction of polynomials.**

Subtraction of two algebraic expressions is achieved by changing the sign of every term in the expression which is being subtracted and adding this result to the other expression.

Subtract Q(x) = 2y

^{3}+ 6 from P(x)= 30y

^{3} - 29y

^{2} - 3y

It is the same as simplify: (30y

^{3} - 29y

^{2} - 3y)-(2y

^{3}+ 6)

Solution: P(x) - Q(x)= 28y

^{3} - 29y

^{2} - 3y - 6

Note the following combinations:

30y^{3} - 2y^{3 } = 28y^{3}