Question

разложи многочлен на множители
2xy-5y во 2 степени-6x+15y
a4-16
49-b4

Answer 1

$2xy-5y^2-6x+15y= y(2x-5y)-3(2x-5y)=(2x-5y)(y-3)\ \ a^4-16=(a^2)^2-4^2=(a^2-4)(a^2+4)= (a^2-2^2)(a^2+4)= \ =(a-2)(a+2)(a^2+4)\ \ 49-b^4=7^2-(b^2)^2=(7-b^2)(7+b^2)=(( sqrt{7})^2 -b^2)(7+b^2)= \ =(sqrt{7}-b)(sqrt{7}+b)(7+b^2)$