Question

resolve into factors:
(a) 1-216x³
(b) X¹² - Y¹²​

Answer 1

Answer:

(b).

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 )

(1)(x²-y²)=(x+y)(x-y)

(2)x³-y³= (x-y)(x²+xy+y²)