6X2-7X-3
m2-4mn-5n2
3ax-3ay+xy-y2
8x3+4x2-2x-1
x2(x+1)-y(xy+x)
ab(c2-d2)+cd(a2-b2)
6X2-7X-3
m2-4mn-5n2
3ax-3ay+xy-y2
8x3+4x2-2x-1
x2(x+1)-y(xy+x)
ab(c2-d2)+cd(a2-b2)
6X2-7X-3
=6x²-7x-3
=(3x+1)(2x-3)
m2-4mn-5n2
=m²-4mn-5n²
=(m+n)(m-5n)
3ax-3ay+xy-y2
=3a(x-y)+y(x-y)
=(x-y)(3a+y)
8x3+4x2-2x-1
=(8x^3-1)+(4x^2-2x)
=(2x-1)(4x²+2x+1)+2x(2x-1)
=(2x-1)(4x²+4x+1)
=(2x-1)(2x+1)²
x2(x+1)-y(xy+x)
=x^3+x^2-xy^2-xy
=x(x^2-y^2)+x(x-y)
=x(x+y)(x-y)+x(x-y)
=x(x-y)(x+y+1)
ab(c2-d2)+cd(a2-b2)
=abc²-abd²+a²cd-b²cd
=ac(bc+ad)-bd(ad+bc)
=(ad+bc)(ac-bd)