Question

分解因式(a-b)的平方-4(a+b)的平方+4ab

Answer 1

(a-b)²-4(a+b)²+4ab
=(a²-2ab+b²)-4(a²+2ab+b²)+4ab
=a²-2ab+b²-4a²-8ab-4b²+4ab
=-3a²-6ab-3b²
=-3(a²+2ab+b²)
=-3(a+b)²

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Answer 2

(a-b)²-4（a+b)²+4ab
=a²-2ab+b²+4ab-4(a+b)²
=（a+b)²-4(a+b)²
=-3（a+b)²

Answer 3

(a-b)^2-4(a+b)^2+4ab

=(a-b-2*(a+b))(a-b+2(a+b))+4ab
=(-a-3b)(3a+b)+4ab
=-3a^2-3b^2-ab-9ab+4ab
=-3b^2-6ab-3a^2
=-3(a+b)^2

Answer 4

(a-b)^2-4(a+b)^2+4ab
=[(a-b)^2+4ab]-4(a+b)^2
=(a+b)^2-4(a+b)^2
=[(a+b)+2(a+b)][(a+b)-2(a+b)]
=-3(a+b)^2

Answer 5

化简合并
-3a^2 - 3B^2 -6ab

= -3 (a + b) ^ 2