Question

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

Answer 1

\[\text{ The greatest common factor of the terms }- 4 a^2 , 4ab\text{ and }- 4ca\text{ of the expression }- 4 a^2 + 4ab - 4ca\text{ is }- 4a . \]
\[\text{ Also, we can write }- 4 a^2 = - 4a \times a, 4ab = - 4a \times ( - b)\text{ and }4ca = - 4a \times c . \]
\[ \therefore - 4 a^2 + 4ab - 4ca = - 4a \times a + ( - 4a) \times ( - b) - 4a \times c\]
\[ = - 4a(a - b + c)\]