Question

Factorise the following. (i) 21x²y3 + 27x3y2 (ii) a3 - 4a2 + 12 - 3a​

Answer 1

Answer:

i) = 3 × 7 × x × x × y × y × y + 3 × 3 × 3 × x × x × x × y × y

= 3 × x × x × y × y (7y + 9x) (Using ab + ac = a (b + c))  

= 3x2y2 (7y + 9x)

ii) = a^3 - 4a^2 + 12 - 3a

= a^2 ( a - 4 ) + 3 ( 4 - a )

= a^2 ( a - 4 ) - 3 ( a - 4 )

= ( a - 4 ) ( a^2 - 3 )

Hope it helps you!!