d: x^3+27y^3=x^3+(3y)^3
=(x+3y)(x^2-3xy+9y^2)
c: =(x-y)(x+y)-4(x-y)
=(x-y)(x+y-4)
d: =(x-y)(x+y)+10(x-y)
=(x-y)(x+y+10)
e: (x-3)^2-25
=(x-3-5)(x-3+5)
=(x-8)(x+2)
f: =(x+y)^2-36
=(x+y-6)(x+y+6)
g: =(x^2-2xy+y^2)-25
=(x-y)^2-25
=(x-y-5)(x-y+5)
\(b,x^3+27y^3\\ =\left(x+3y\right)\left(x^2-3xy+9y^2\right)\\ c,x^2-y^2-4x+4y\\ =\left(x-y\right)\left(x+y\right)-4\left(x-y\right)\\ =\left(x-y\right)\left(x+y-4\right)\\ d,x^2-y^2+10x-10y \\ =\left(x-y\right)\left(x+y\right)+10\left(x-y\right)\\ =\left(x-y\right)\left(x+y+10\right)\\ e,\left(x-3\right)^2-25\\ =\left(x-3-5\right)\left(x-3+5\right)\\ =\left(x-8\right)\left(x+2\right)\\ f,x^2+y^2+2xy-36\\ =\left(x+y\right)^2-36\\ =\left(x+y+6\right)\left(x+y-6\right)\\ g,x^2+y^2-2xy-25\\ =\left(x-y\right)^2-25\\ =\left(x-y-5\right)\left(x-y+5\right)\)
