MATLAB: Multiplication of two polynomials having different variables #multiplication of two polynomial #polynomial with two variables i want to multiply two variables like (X^3 + X^2+ X+1)*(Y^3 +Y^2 +Y+1) Is there any built in function like "conv" ( which help us to multiply two variables of same variable)? Best Answer The simple answer is to use the symbolic toolbox. If you have it, I cannnot think of a good reason why you would not use it.syms X Y(X^3 + X^2+ X+1)*(Y^3 +Y^2 +Y+1)ans =(X^3 + X^2 + X + 1)*(Y^3 + Y^2 + Y + 1)expand(ans)ans =X^3*Y^3 + X^3*Y^2 + X^3*Y + X^3 + X^2*Y^3 + X^2*Y^2 + X^2*Y + X^2 + X*Y^3 + X*Y^2 + X*Y + X + Y^3 + Y^2 + Y + 1Lacking that, you can download my sympoly toolbox. It is on the file exchange. So I can do this:sympoly X Y(X^3 + X^2+ X+1)*(Y^3 +Y^2 +Y+1)ans = 1 + Y + Y^2 + Y^3 + X + X*Y + X*Y^2 + X*Y^3 + X^2 + X^2*Y + X^2*Y^2 + X^2*Y^3 + X^3 + X^3*Y + X^3*Y^2 + X^3*Y^3So at least for basic polynomial manipulations, it works quite well.Lacking that, can you solve the problem with neither tool present? Of course. Since you wanted to use conv...xpoly = [1 1 1 0];ypoly = [1 1 1 1];Effectively, you know these are the coefficients of polynomials in x and y, such that the ith element of xpoly is the coefficient of X^(4- i).xypoly = xpoly'*ypolyxypoly = 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0So the (i,j) element of xypoly is the coefficient of x^(4 - i) * y^(4 - j). Related SolutionsMATLAB: How to solve a first order partial differential equation u(x,y) = x + x^2*y + cosh(y) Related Question
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