Question

Carrie

第二題怎麼解

9. 因式分解下列各式:
(1) 8x²-2x-3= (47-3) (2% +1)
(40-3)(2x+1)
(2) (x-2y)² (3x+y)+(3x+y)² (2y-x)=

Answer 1

Mer

(2y-x)=-(x-2y)

(x-2y)²(3x+y)-(x-2y)(3x+y)²
=(x-2y)(3x+y)[(x-2y)-(3x+y)]
=(x-2y)(3x+y)(-2x-3y)
=-(x-2y)(3x+y)(2x+3y)