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(i) (3x - 5y + 7z) × -3xyz
= (-3xyz × 3x) - (-3xyz × 5y) + (-3xyz × 7z)
= -9x²yz - (-15xy²z) + (-21xyz²)
= -9x²yz + 15xy²z - 21xyz²
(ii) (2p² - 3pq + 5q² + 5) × -2pq
= (-2pq × 2p²) - (-2pq × 3pq) + (-2pq × 5q²) +
(-2pq × 5)
= -4p³q - (-6p²q²) + (-10pq³) + (-10pq)
= -4p³q + 6p²q² - 10pq³ - 10pq
(iii) (⅔a²b - ⅘ab² + 2/7ab + 3) × 35ab
= (35ab × ⅔a²b) - (35ab × ⅘ab²) +
(35ab × 2/7ab) + (35ab × 3)
= 70/3a³b² - 28a²b³ + 10a²b² + 105ab
(iv) (4x² - 10xy + 7y² - 8x + 4y + 3) × 3xy
= (3xy × 4x²) - (3xy × 10xy) + (3xy × 7y²) -
(3xy × 8x) + (3xy × 4y) + (3xy × 3)
= 12x³y - 30x²y² + 21xy³ - 24x²y + 12xy² + 9xy
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