Question

Factorize each of the following expressions:
x⁶+y⁶

Answer 1

Answer

(x³+iy³)(x³-iy³)

Step-by-step explanation:

${x}^{6} + {y}^{6} \\ = {( {x}^{3} )}^{2} - ( - { {y}^{3} })^{2} \\ = ( { {x}^{3}) }^{2} - ( {i}{ {y}^{3} })^{2} \\ = ( {x}^{3} + i {y}^{3} )( {x}^{3} - i {y}^{3} )$

Answer 2

Answers

Step by step explanation

x6+y6

(x³)²-(-y³)²

(x³)²-(iy³)²

(x³+iy³) (x³-iy³)