Question

8(x+2y)^2-(x+2y)4-16分解因式

Answer 1

8（x+2y）的2次方-（x+2y）的4次方-16
=-[（x+2y）的4次方-8（x+2y）的2次方+16]
=-[（x+2y）的2次方-4]的2次方
=-[（x+2y+2）×（x+2y-2）]的2次方
=-（x+2y+2）的2次方×（x+2y-2）的2次方

Answer 2

8(x+2y)^2-(x+2y)4-16分解因式
=-[(x+2y)^4-8(x+2y)²+16]
=[(x+2y)²-4]²
=[((x+2y)+2)(x+2y-2)]²
=(x+2y+2)²(x+2y-2)²

Answer 3

8(x+2y)^2-(x+2y)4-16
=8[(x+2y)^2-1/2*(x+2y)]-16
=8[(x+2y)-1/4]^2-33/2
=(4x+8y-1)^2/2-33/2
=1/2[(4x+8y-1)^2-33]
=1/2[(4x+8y-1)-√33][(4x+8y-1)+√33]

=1/2(4x+8y-1-√33)(4x+8y-1+√33)