Results 1 to 2 of 2

Math Help - Distriblutive law

  1. #1
    Super Member
    Joined
    Feb 2008
    Posts
    535

    Distriblutive law

    I am asked to prove that addition and multiplication on C satisfy the distributive law.

    I understand that I must show x(y + z) = xy + xz, but what else must I show?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,404
    Thanks
    1293
    Quote Originally Posted by jzellt View Post
    I am asked to prove that addition and multiplication on C satisfy the distributive law.

    I understand that I must show x(y + z) = xy + xz, but what else must I show?
    Let x, y, z all be complex numbers.

    In other words, let x = a + ib, y = c + id, z = e + ig.

    Evaluate y + z then multiply the result by x.

    Evaluate xy + xz.

    Are these equal?


    Hint: You may use the definition of multiplication of a complex number, i.e. if z_1 = x_1 + iy_1 and z_2 = x_2 + iy_2 then

    z_1z_2 = x_1x_2 - y_1y_2 + i(x_1y_2 + x_2y_1).
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum