Find the product: (i) 3x(4ax + 8by) (ii) 4a2b(a – 3b) (iii) (p +

1.	Find the product: (i) 3x(4ax + 8by) (ii) 4a2b(a – 3b) (iii) (p + Sq2) pq (iv) (m3 + n3) 5mn2
Answer» i) 3x (4ax + 8by) = 3x × 4ax + 3x × 8by = 12ax² + 24bxy ii) 4a²b (a – 3b) = 4a²b × a – 4a²b × 3b = 4a³b – 12a²b² iii) (p + 3q²) pq = p × pq + 3q² × pq = p²q + 3pq³ iv) (m³ + n³) 5mn² = m³ × 5mn² + n³ × 5mn² = 5m⁴n² + 5mn⁵

Find the product: (i) 3x(4ax + 8by) (ii) 4a2b(a – 3b) (iii) (p + Sq2) pq (iv) (m3 + n3) 5mn2

Answer»

i) 3x (4ax + 8by)

= 3x × 4ax + 3x × 8by

= 12ax² + 24bxy

ii) 4a²b (a – 3b)

= 4a²b × a – 4a²b × 3b

= 4a³b – 12a²b²

iii) (p + 3q²) pq

= p × pq + 3q² × pq

= p²q + 3pq³

iv) (m³ + n³) 5mn²

= m³ × 5mn² + n³ × 5mn²

= 5m⁴n² + 5mn⁵