因式分解9(a-b)²+12(a²-b²)+4(a+b)²
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因式分解9(a-b)²+12(a²-b²)+4(a+b)²
因式分解9(a-b)²+12(a²-b²)+4(a+b)²
因式分解9(a-b)²+12(a²-b²)+4(a+b)²
=9a²-18ab+9b²+12a²-12b²+4a²+8ab+4b²
=25a²-10ab+b²
=(5a-b)²
9(a-b)²+12(a²-b²)+4(a+b)²
=[3(a-b)]^2+2x[3(a-b)]x[2(a+b)]+[2(a+b)]^2
=[3(a-b)+2(a+b)]^2
=(5a-b)^2
9a²-18ab+b²+12a²-12b²+4a²+8ab+4b²
= 25a²-10ab+4b²
=(5a-2b)²
9(a-b)²+12(a²-b²)+4(a+b)²
=9(a^2+b^2-2ab)+12a^2-12b^2+4(a^2+b^2+2ab)
=25a^2+b^2-10ab
=(5a-b)^2
原式=[3﹙a-b﹚]²+2×3×2﹙a-b﹚﹙a+b﹚+[2﹙a+b﹚]²
=[3﹙a-b﹚+2﹙a+b﹚]²=﹙3a-3b+2a+2b﹚²=﹙5a-b﹚²