Question

Multiply:

(3) (2p − 5) (3p² + p − 2)

Answer 1

(2p − 5) (3p² + p − 2)
= 2p(3p² + p − 2) − 5(3p² + p − 2)
= (2p × 3p²) + (2p × p) − (2p × 2) − (5 × 3p²) − (5 × p) + (5 × 2)
= 6p³ + 2p² − 4p − 15p² − 5p + 10
= 6p³ + (2p² − 15p²) + (−4p − 5p) + 10
= 6p³ + (−13p²) + (−9p) + 10
= 6p³ − 13p² − 9p + 10