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参考・概略です
－20x²＋60xy－45y²
●共通因数「－5」で括ります
＝－5(4x²－12xy＋9y²)
●()内について、
4x²＝(2x)²，9y²＝(3y)²，－12xy＝－2(2x)(3y)
を確認し、公式a²－2ab＋b²＝(a＋b)²を用いて
＝－5(2x－3y)²
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