1、已知:m+n=4,求m²+2mn+n²-16的值;2、若m²-2m=1,则2m²-4m+2011的值是;3、计算:(2a+b)(2a-b)-(a-b)²(全部要过程)
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![1、已知:m+n=4,求m²+2mn+n²-16的值;2、若m²-2m=1,则2m²-4m+2011的值是;3、计算:(2a+b)(2a-b)-(a-b)²(全部要过程)](/uploads/image/z/1124218-10-8.jpg?t=1%E3%80%81%E5%B7%B2%E7%9F%A5%EF%BC%9Am%2Bn%3D4%2C%E6%B1%82m%26%23178%3B%2B2mn%2Bn%26%23178%3B-16%E7%9A%84%E5%80%BC%EF%BC%9B2%E3%80%81%E8%8B%A5m%26%23178%3B-2m%3D1%2C%E5%88%992m%26%23178%3B-4m%2B2011%E7%9A%84%E5%80%BC%E6%98%AF%EF%BC%9B3%E3%80%81%E8%AE%A1%E7%AE%97%3A%282a%2Bb%29%282a-b%29-%28a-b%29%26%23178%3B%EF%BC%88%E5%85%A8%E9%83%A8%E8%A6%81%E8%BF%87%E7%A8%8B%EF%BC%89)
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1、已知:m+n=4,求m²+2mn+n²-16的值;2、若m²-2m=1,则2m²-4m+2011的值是;3、计算:(2a+b)(2a-b)-(a-b)²(全部要过程)
1、已知:m+n=4,求m²+2mn+n²-16的值;2、若m²-2m=1,则2m²-4m+2011的值是;
3、计算:(2a+b)(2a-b)-(a-b)²(全部要过程)
1、已知:m+n=4,求m²+2mn+n²-16的值;2、若m²-2m=1,则2m²-4m+2011的值是;3、计算:(2a+b)(2a-b)-(a-b)²(全部要过程)
m²+2mn+n²-16
=(m+n)²-16
=4²-16
=0
2m²-4m+2011
=2(m²-2m)+2011
∵m²-2m=1
∴原式=2×1+2011=2013
:(2a+b)(2a-b)-(a-b)²
=4a²-b²-(a²-2ab+b²)
=4a²-b²-a²+2ab-b²
=3a²+2ab-2b²