Question

(a+5)(a-5) -(a+2)²

分解因式 a²(y-x)+(x-y)

Answer 1

解：(a+5)(a-5) -(a+2)²＝a²－25－a²－4a－4＝﹣4a－29.
a²(y-x)+(x-y)＝a²﹙y－x﹚－﹙y－x﹚＝﹙y－x﹚﹙a²－1﹚＝﹙y－x﹚﹙a－1﹚﹙a＋1﹚.

Answer 2

a²(y-x)+(x-y)
=(y-x)(a²-1)
=(y-x)(a-1)(a+1)

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Answer 3

(a+5)(a-5) -(a+2)²
=a²-25-(a²+4a+4)
=a²-25-a²-4a-4
=-4a-29

a²(y-x)+(x-y)
=a²(y-x)-(y-x)
=(y-x)(a²-1)
=(y-x)(a+1)(a-1)

Answer 4

(a+5)(a-5) -(a+2)²
=a²-25-(a²+4a+4)
=a²-25-a²-4a-4
=-4a-29
a²(y-x)+(x-y)

=(x-y)-a²(x-y)
=(x-y)(1-a²)
=(x-y)(1+a)(1-a)