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2. 14a^3 +8ab
3. -30p^3 + 15p^2q
4. 18p^2q+ 15pq^2-12q^3
5. -6m^3n+8m^2n^2+14mn^3
= (a × 3a) + (a × 8b)
= 3a² + 8ab
2). 2a(7a² + 4b)
= (2a × 7a²) + (2a × 4b)
= (2×7 × a³) + (2×4 × ab)
= 14a³ + 8ab
3). -5p²(6p - 3q)
= (-5p² × 6p) - (-5p² + 3q)
= -30p³ - ( -15p²q)
= -30p³ + 15p²q
= 15p²q - 30p³
4). 3q(6p² + 5pq - 4q²)
= (3q × 6p²) + (3q × 5pq) - (3q × 4q²)
= 18p²q + 15pq² - 12q³
5). -2mn(3m² - 4mn - 7n²)
= (-2mn × 3m²) - (-2mn × 4mn) - (-2mn × 7n²)
= -6m³n - (-8m²n²) - (-14mn³)
= -6m³n + 8m²n² + 14mn³
= 8m²n² + 14mn³ - 6m³n