Factoring out the monomial GCD

Statement

Factorise: $\frac{1}{64}\,x^6y^3 - \frac{27}{8}\,x^3y^6 + \frac{27}{16}\,x^4y^5 - \frac{9}{32}\,x^5y^4$

Solution

Factor out the GCD of the four monomials, which is $\dfrac{x^3y^3}{64}$: $\boxed{\frac{x^3y^3}{64}\bigl(x^3 - 216y^3 + 108xy^2 - 18x^2y\bigr)}$

Links

Topics: Literal calculus
Concepts: Factoring out a common factor · Factorisation
Skills: Factorising
Exercise type: Factorisation