Question

Factorize the following:
−4a² + 4ab − 4ca

Answer 1

$$\begin{gathered} Thegreatestcommonfactoroftheterms-4a^2,4aband-4caoftheexpression-4a^2+4ab-4cais-4a. \\ Also,wecanwrite-4a^2=-4a\times a,4ab=-4a\times (-b)and4ca=-4a\times c. \\ \therefore -4a^2+4ab-4ca=-4a\times a+(-4a)\times (-b)-4a\times c \\ =-4a(a-b+c) \end{gathered}$$