Question

If p (x) = x4 + 2x2 + 1 and q (x) = x4 – 2x2 + 1, find p (x) -q (x).
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Answer 1

p(x) - q(x) = 4x²

Explanation:

p(x) - q(x)

=
`x^(4)` + 2x² + 1 - (
`x^(4)` - 2x² + 1) ← distribute parenthesis by - 1

=
`x^(4)` + 2x² + 1 -
`x^(4)` + 2x² - 1 ← collect like terms

= 4x²

Answer 2

the answer is 4x2

Explanation:

p(X)-q(X) = x4 + 2x2 + 1 - ( x4 - 2x2 + 1 )

p(X)-q(X) = x4 + 2x2 + 1 - x4 + 2x2 - 1 )

p(X)-q(X) = 2x2 + 2x2

p(X)-q(X) = 4x2