Complete Factorisation

Question

Factorise Completly ax²y-4ay³

Answer 1

1. ax²y-4ay³ , First Factor out ay
2. Factoring out ay results in: ay(x²-4y²)
3. Factor out (x²-4y²) results in: ay(x-2y)(x+2y)

Check: ay(x-2y)(x+2y)

ay(x²+2xy-2xy-4y²)

ay(x²-4y²)= ax²y-4ay³