Question

Factorise the following by taking out the common factor

9x⁵y³ + 6x³y² – 18x²y

Answer 1

9x⁵ + 6x³y² – 18x²y = (3 × 3 × x² × x³ × y × y) + (2 × 3 × x² × x × y × y) – (2 × 3 × 3 × x² × y)

Taking out the common factors 3, x², y, we get

= 3 × x² × y(3x³y² + 2xy – 6)

= 3x²y(3x³y² + 2xy – 6)