Question

factorize:(7a^3+5b^3)​

Answer 1

By using identity a3 +b3 = (a+b )a2+ ab+ b2

$7a {}^{3} + 5b {}^{3} = \\ (7a + 5b)(7a {}^{2} + (7a)(5b) + 5b{}^{2} ) = \\ (7a + 5b)(49a {}^{2} + 35ab + 25b {}^{2} )$