Question

分解因式。

4（a-b）^2-8a+8b

16x^2+4x+0.25

Answer 1

解由4（a-b）^2-8a+8b
=4（a-b）^2-8（a-b）
=4（a-b）[(a-b)-2]
=4（a-b）（a-b-2）

16x^2+4x+0.25
=16x^2+4x+1/4
=1/4（64x²+16x+1）
=1/4(8x+1)²

Answer 2

4（a-b）^2-8a+8b
=4（a-b）^2-8（a-b）
=4（a-b)(a-b-2)

16x^2+4x+0.25
=(4x+0.5)^2

Answer 3

4(a-b)^2+8(b-a)=(a-b)(4a-4b-8)=4(a-b)(a-b-2)
16x^2+4x+0.25=16(x^2+0.25x+1/64)=16(x+1/8)^2

Answer 4

Answer 5

(1)
4(a-b)^2-8a+8b
=4(a-b)^2-8(a-b)
=(a-b)[4(a-b)-8]
=4(a-b)(a-b-2)
(2)
16x^2+4x+1/4
=(4x)^2+2*(1/2)*4x+(1/2)^2
=(4x+1/2)^2