Polynomials and Rational Expressions Question
View this question.
Add this question to a group or test by clicking the appropriate button below.
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
Is the following proof correct? If not, identify the first step that has an error.
[math]"Prove: " \ (x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/math]
Left Side: [math](x^2 + y^2)^2[/math]
Step 1: [math](x^4+y^4)[/math]
Step 2: [math]x^2+2x^2y^2+y^2[/math]
Step 3: [math](x^2-y^2)^2+(2xy)^2[/math]
[math]"Prove: " \ (x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/math]
Left Side: [math](x^2 + y^2)^2[/math]
Step 1: [math](x^4+y^4)[/math]
Step 2: [math]x^2+2x^2y^2+y^2[/math]
Step 3: [math](x^2-y^2)^2+(2xy)^2[/math]
- The proof is correct.
- Step 1 has an error.
- Step 2 has an error.
- Step 3 has an error.
You need to have at least 5 reputation to vote a question down.
Learn How To Earn Badges.