分解质因数(a-4)的平方+(b-4)的平方+2ab-16

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分解质因数(a-4)的平方+(b-4)的平方+2ab-16
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分解质因数(a-4)的平方+(b-4)的平方+2ab-16
分解质因数(a-4)的平方+(b-4)的平方+2ab-16

分解质因数(a-4)的平方+(b-4)的平方+2ab-16
(a-4)²+(b-4)² +2ab-16
=a²-8a+16+b²-8b+16+2ab-16
=a²-8a+b²-8b+16+2ab
=(a²+2ab+b²)-8a-8b+16
=(a+b) ²-8(a+b)+16
=[(a+b)-4] ²
=[a+b-4] ²

(a-4)的平方+(b-4)的平方+2ab-16
=a²-8a+16+b²-8b+16+2ab-16
=a²+2ab+b²-8a-8b+16
=(a+b)²-8(a+b)+16
=(a+b-4)²

=a方—8a+16+b方—8b+2ab=(a+b)方—8(a+b)=(a+b)(a+b—8)

(a-4)^2+(b-4)^2+2ab-16
=(a-4)^2+(b-4)^2-2(a-4)(b-4)+2(a-4)(b-4)+2ab-16
=[(a-4)-(b-4)]^2+2(a-4)(b-4)+2ab-16
=(a-b)^2-8a-8b+4ab+16
=a^2+b^2+2ab-8a-8b+16
=(a+b)^2-8(a+b)+16
=(a+b-4)^2