Question

determine if the following equation is an identity x²-y² = x²-2xy+y²A) this is an identity because the equation is trueB) this is an identity because the equation is not trueC) this is not an identity because the equation is not trueD) this is not an identity because the equation is true

Answer 1

determine if the following equation is an identity x²-y² = x²-2xy+y²

A) this is an identity because the equation is true

B) this is an identity because the equation is not true

C) this is not an identity because the equation is not true

D) this is not an identity because the equation is true ​

we have

x²-y² = x²-2xy+y²

Group terms

x^2-x^2=-2xy+y^2+y^2

0=-2xy+2y^2

2xy=2y^2

Simplify

x=y

so

Its not an identity because the equation is not true

the answer is the option C