SOLUTION: Prove, algebraically, that the following equations are polynomial identities. Show all of your work and explain each step. Use the Rubric as a reference for what is expected for ea

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Prove, algebraically, that the following equations are polynomial identities. Show all of your work and explain each step. Use the Rubric as a reference for what is expected for ea      Log On


   

Question 1180326: Prove, algebraically, that the following equations are polynomial identities. Show all of your work and explain each step. Use the Rubric as a reference for what is expected for each problem.
A. (2x+5)^2 = 4x(x+5) + 25
B. (4x + 6y)(x - 2y) = 2(2x^2 - xy - 6y^2)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%2B5%29%5E2+=+4x%28x%2B5%29+%2B+25
-
RightSide, 4x%5E2%2B20x%2B25
%282x%29%5E2%2B20x%2B5%5E2
%282x%29%5E2%2B%2810%2B10%29x%2B5%5E2----------------10=2%2A5
%282x%2B5%29%5E2, same as leftside