x2+bx+c→a(x+n)(x+m)x2−14x+45=x2−5x−9x−9⋅(−5)=x(x−5)−9(x−5)=(x−9)(x−5) ответ:x2−14x+45=(x−9)(x−5)
ay2+by+c→a(y+n)(y+m)3y2+7y−6=3(y2+73y−2)=3(y2+3y−23y−23⋅3)=3(y(y+3)−23(y+3))=3(y−23)(y+3) ответ:3y2+7y−6=3(y−23)(y+3)
Объяснение:
x2+bx+c→a(x+n)(x+m)x2−14x+45=x2−5x−9x−9⋅(−5)=x(x−5)−9(x−5)=(x−9)(x−5) ответ:x2−14x+45=(x−9)(x−5)
ay2+by+c→a(y+n)(y+m)3y2+7y−6=3(y2+73y−2)=3(y2+3y−23y−23⋅3)=3(y(y+3)−23(y+3))=3(y−23)(y+3) ответ:3y2+7y−6=3(y−23)(y+3)
Объяснение: