Question

разложите на множители : 25a^2-(a-3)^2

Answer 1

$25a^2-(a-3)^2=(5a)^2-(a-3)^2=\\=(5a+(a-3))(5a-(a-3))=(5a+a-3)(5a-a+3)=\\=(6a-3)(4a+3)=3(2a-1)(4a+3)$