用多项式分解下列因式,和简便方法计算

2025-03-12 13:27:35
推荐回答(1个)
回答1:

49.9^2+9.98+0.1^2=49.9²+0.1²+2×49.9×0.1=﹙49.9+0.1﹚²=50²=2500
99^2+199=99²+2×99×1+1²=﹙99+1﹚²=10000
(a+b)^2+2(a+b)c+c^2=(a+b)²+2(a+b)c+c²=﹙a+b+c﹚²
4a(a-b)+b^2=﹙2a﹚²-2×﹙2a﹚b+b²=﹙2a-b﹚²
4xy^2-4x^2y-y^3=﹙-y﹚﹙2x-y﹚²
(4a^2+1)^2-16a^2=﹙4a²+1-4a﹚﹙4a²+1+4a﹚=﹙2a-1﹚²﹙2a+1﹚²