Question 60268
{{{(x+y)(2x-1)(x+1)}}}. First of all, you must multiply first two polynomials, {{{(x+y)(2x-1)}}}. Use the distributive property: {{{x(2x-1) +y(2x-1)}}} the reason is because you could use distributive property even if these two are polynomials. So,it would be, {{{x * 2x - x * 1 + y * 2x - y * 1}}} and just simplify the like terms. But we are not done yet. after we combine it, which is {{{2x^2 - x + 2xy - y}}}, we also have to multiply {{{(x+1)}}} as well, remember? We should rather use polynomials ( the {{{x+1)}}} ) than quadnomials ( the {{{2x^2 - x + 2xy - y}}} ) to use as distributive property, so this is what it should be: {{{ x(2x^2 - x + 2xy - y) + 1(2x^2 - x + 2xy - y) }}} which simplify all the way down to: {{{ 2x^3 - x^2 + 2x^2y - xy + 2x^2 - x + 2xy - y}}} then to: {{{ 2x^3 + x^2 + 2x^2y + xy - x - y}}}.
Confused? When multiplying polynomials, think of something that splits in two and goes along with others on each side. Pretend like {{{(1+1)(1+1) then you will break up the polynomial is the first bracket, and multiply each to the {{{(1+1)}}}. So it would be {{{1(1+1)+1(1+1)}}}. i hope you aren't still confused...