Question

Multiply:

(6) (4m² + 6mn + 9n²) (2m − 3n)

Answer 1

(4m² + 6mn + 9n²) (2m − 3n)
= (4m² + 6mn + 9n²)2m − (4m² + 6mn + 9n²)3n
= (4m² × 2m) + (6mn × 2m) + (9n² × 2m) − (4m² × 3n) − (6mn × 3n) − (9n² × 3n)
= 8m³ + 12m²n + 18n²m − 12m²n − 18mn² − 27n³
= 8m³ + (12m²n − 12m²n) + (18n²m − 18mn²) − 27n³
= 8m³ + 0 + 0 − 27n³
= 8m³ − 27n³