Question

Find the factors of
X¹²-Y¹²

Answer 1

Answer:

(x-y)(x²+xy+y²)(x³+y³)(x^6 + y^6)

Step-by-step explanation:

x¹²- y¹²

= (x^6)² - (y^6)²

= (x^6 + y^6)(x^6 - y^ 6)

=[(x³)²-(y³)²](x^6 + y^6)

=(x³+y³)(x³-y³)(x^6 + y^6)

=(x-y)(x²+xy+y²)(x³+y³)(x^6 + y^6)

Algebraic Identities used:---

(1)(x²-y²)=(x+y)(x-y)

(2)x³-y³= (x-y)(x²+xy+y²)

Answer 2

Answer:

My best answer is, factors of X¹² - Y ¹²

is ( X⁶ + Y⁶ ) ( X+Y ) ( X- Y ) ( X² - XY + Y² ) ( X² + XY + Y² ) . I hope it will help you.