Question

Разложите на множители : а.) b^2c-9c б.) 2a^2+12a+18 в.) x-y-2x^2+2y^2 большоесибо за ответ))

Answer 1

$1)b^{2} c-9c=c(b ^{2} -9)=c(b-3)(b+3) \\ \\ 2)2a ^{2} +12a+18=2(a ^{2} +6a+9)=2(a ^{2} +2*3*a+3 ^{2} )= \\ =2(a+3) ^{2} \\ \\ 3) x-y-2 x^{2} +2y ^{2} =1(x-y)-2( x^{2} -y ^{2} )= \\ =1(x-y)-2(x-y)(x+y)= \\ =(x-y)(1-2(x+y)) =(x-y)(1-2x-2y)$