Factorise the following expressions and write them in the product form

1.	Factorise the following expressions and write them in the product form. i. 201a3b2 ii. 91xyt2 iii. 24a2b2 iv. tr2s3
Answer» i. 201 a³b² = 3 × 67 × a³ × b² = 3 × 67 × a × a × a × b × b ii. 91 xyt² = 7 × 13 × x × y × t² = 7 × 13 × x × y × t × t iii. 24 a²b² = 2 × 2 × 2 × 3 × a² × b² = 2 × 2 × 2 × 3 × a × a × b × b iv. tr²s³ = t × r² × s³ = t × r × r × s × s × s

Factorise the following expressions and write them in the product form. i. 201a3b2 ii. 91xyt2 iii. 24a2b2 iv. tr2s3

Answer»

i. 201 a³b²

= 3 × 67 × a³ × b²

= 3 × 67 × a × a × a × b × b

ii. 91 xyt²

= 7 × 13 × x × y × t²

= 7 × 13 × x × y × t × t

iii. 24 a²b²

= 2 × 2 × 2 × 3 × a² × b²

= 2 × 2 × 2 × 3 × a × a × b × b

iv. tr²s³

= t × r² × s³

= t × r × r × s × s × s