运用完全平方公式分解因式

Question

如题所述

Answer 1

Answer 2

Answer 3

4x²-20xy+25y²
=（2x）²-2×2x×5y+（5y）²
=（2x+5y）²

x²+36+12x
=x²+2×x×6+6²
=（x+6）²

-2xy-x²-y²
=-（-2xy+x²+y²）
=-（x²+2xy+y²）
=-（x+y）²

（a+b）²-4（a+b）b+4b²
=（a+b）²-4（a+b）b+(2b)²
=[(a+b)-2b]²
=（a-b）²
=本回答被网友采纳

Answer 4

4x²-20xy+25y²
=(2x)²-2×2x×5y+(5y)²
=(2x-5y)²
x²+36+12x
=x²+2×x×6+6²
=(x+6)²
-2xy-x²-y²
=-(x²+2y+y²)
=-(x+y)²
(a+b)²-4(a+b)b+4b²
=[(a+b)-2b]²
=(a-b)²