Question

Разложите на множители y²-x²-12x-36

Answer 1

$y^2-x^2-12x-36=y^2-(x^2+12x+36)=\\=y^2-(x+6)^2=(y-(x+6))(y+(x+6))=\\=(y-x-6)(y+x+6)\\\\\boxed{a^2+2ab+b^2=(a+b)^2\;;\;a^2-b^2=(a-b)(a+b)}$