SOLUTION: Angelina factored (x - 4)^8 and wrote that it was equal to (x^2 - 4^2)2(x^2 + 4^2). Use complete sentences to explain how you could confirm whether Angela’s solution is correct. Pr

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Angelina factored (x - 4)^8 and wrote that it was equal to (x^2 - 4^2)2(x^2 + 4^2). Use complete sentences to explain how you could confirm whether Angela’s solution is correct. Pr      Log On


   

Question 1128351: Angelina factored (x - 4)^8 and wrote that it was equal to (x^2 - 4^2)2(x^2 + 4^2). Use complete sentences to explain how you could confirm whether Angela’s solution is correct. Prove your conclusion mathematically.

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Angelina factored %28x+-+4%29%5E8 and wrote that it was equal to %28x%5E2+-+4%5E2%29%5E2%28x%5E2+%2B+4%5E2%29.
Angela's solution is incorrect because when multiplied you get a completely different answer then the one she had.
proof:
she did
%28x%5E2+-+4%5E2%29%5E2+=x%5E4+-2%2A4%5E2%2B4%5E4+=x%5E4+-+4%5E4
%28x%5E4+-+4%5E4%29+%28x%5E2+%2B+4%5E2%29+=+x%5E2+-+4%5E6
correction:


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

My opinion is that a student NEVER will learn on how to solve problems, if he (or she) will solve the problems like this one.

Waste of time in its purest form.