(2a+b)(a-2b)
=2a^2+ab-4ab-2b^2
=2a^2-3ab-2b^2
(a+b)^2
=a^2+2ab+b^2
(x^2+xy+y^2)(x^2-xy+y^2)
=(x^2+y^2)^2-x^2y^2
=x^4+2x^2y^2+y^4-x^2y^2
=x^4+y^4+x^2y^2
(2x^4-3x^3+5x^2+x)(-x+1)
=2x^4-3x^3+5x^2+x-2x^5+3x^4-5x^3-x^2
=-2x^5+5x^4-8x^3+4x^2+x
(x+1)(x+2)(x+3)
=(x^2+3x+2)(x+3)
=x^3+3x^2+2x+3x^2+9x+6
=x^3+6x^2+11x+6