Question

Factor:

45c^2-320

Answer 1

Factor out the numeric common factor of 5 to get
\( 5(9c^2-64) = 5( (3c)^2 - 8^2) \)
Since the content of the parentheses is a difference of two squares, use the identity
\( a^2-b^2 = (a+b)(a-b)\)
to completely factorize the expression.