(1)已知a=3,b=1求代数式a²-2ab+b²和(a-b)²的值; (2)请你再取一组,a,b的值,计算代数式a²-2ab+b²和(a-b)²的值;(3)由以上计算结果您能得出什么结论.
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![(1)已知a=3,b=1求代数式a²-2ab+b²和(a-b)²的值; (2)请你再取一组,a,b的值,计算代数式a²-2ab+b²和(a-b)²的值;(3)由以上计算结果您能得出什么结论.](/uploads/image/z/1735931-11-1.jpg?t=%EF%BC%881%EF%BC%89%E5%B7%B2%E7%9F%A5a%3D3%2Cb%3D1%E6%B1%82%E4%BB%A3%E6%95%B0%E5%BC%8Fa%26%23178%3B-2ab%2Bb%26%23178%3B%E5%92%8C%28a-b%29%26%23178%3B%E7%9A%84%E5%80%BC%EF%BC%9B+%EF%BC%882%EF%BC%89%E8%AF%B7%E4%BD%A0%E5%86%8D%E5%8F%96%E4%B8%80%E7%BB%84%2Ca%2Cb%E7%9A%84%E5%80%BC%2C%E8%AE%A1%E7%AE%97%E4%BB%A3%E6%95%B0%E5%BC%8Fa%26%23178%3B-2ab%2Bb%26%23178%3B%E5%92%8C%28a-b%29%26%23178%3B%E7%9A%84%E5%80%BC%EF%BC%9B%EF%BC%883%EF%BC%89%E7%94%B1%E4%BB%A5%E4%B8%8A%E8%AE%A1%E7%AE%97%E7%BB%93%E6%9E%9C%E6%82%A8%E8%83%BD%E5%BE%97%E5%87%BA%E4%BB%80%E4%B9%88%E7%BB%93%E8%AE%BA.)
(1)已知a=3,b=1求代数式a²-2ab+b²和(a-b)²的值; (2)请你再取一组,a,b的值,计算代数式a²-2ab+b²和(a-b)²的值;(3)由以上计算结果您能得出什么结论.
(1)已知a=3,b=1求代数式a²-2ab+b²和(a-b)²的值;
(2)请你再取一组,a,b的值,计算代数式a²-2ab+b²和(a-b)²的值;
(3)由以上计算结果您能得出什么结论.
(1)已知a=3,b=1求代数式a²-2ab+b²和(a-b)²的值; (2)请你再取一组,a,b的值,计算代数式a²-2ab+b²和(a-b)²的值;(3)由以上计算结果您能得出什么结论.
1)a²-2ab+b²=9-6+1=4
(a-b)²=(3-1)²=2²=4
2)令a=5,b=3
则a²-2ab+b²=25-2*5*3+9=25-30+9=4
(a-b)²=(5-3)²=2²=4
3)结论:a²-2ab+b²=(a-b)²
4
a²-2ab+b²=(a-b)²
(1)当a=3,b=1时,代数式a²-2ab+b²=3^2-2x3x1+1^2=9-6+1=4
(a-b)²=(3-1)^2=4
(2)当a=1,b=2,代数式a²-2ab+b²=1-2x1x2+4=1
(a-b)²=(1-2)^2=1
(3)由以上计算结果,我能得出:a²-2ab+b²=(a-b)²
a²-2ab+b²=3²-2X3X1+1²=9-6+1=4
(a-b)²=(3-1)²=2²=4