Question

simplify the expression (8p + 7 + 8p³) - (p + 4p⁴ - 6p³) + (2p² + p + 1)\
-4p⁴ + 16p² + 10p + 12\
-4p⁴ + 16p² + 8p + 8\
-4p⁴ + 16p² + 10p + 20\
-4p⁴ + 16p² + 10p + 8

Explanation:

Step1: Remove parentheses, distribute signs

$(8p + 7 + 8p^2) - (p + 4p^4 - 6p^2) + (2p^2 + p + 1) = 8p + 7 + 8p^2 - p - 4p^4 + 6p^2 + 2p^2 + p + 1$

Step2: Group like terms

$-4p^4 + (8p^2 + 6p^2 + 2p^2) + (8p - p + p) + (7 + 1)$

Step3: Combine like terms

$-4p^4 + 16p^2 + 8p + 8$

Answer:

$-4p^4 + 16p^2 + 8p + 8$