(a+2b)(a-2b)-(2a-b)(-2a-b),其中a=8,b=-8 化简并求值!
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![(a+2b)(a-2b)-(2a-b)(-2a-b),其中a=8,b=-8 化简并求值!](/uploads/image/z/598601-65-1.jpg?t=%28a%2B2b%29%28a-2b%29-%282a-b%29%28-2a-b%29%2C%E5%85%B6%E4%B8%ADa%3D8%2Cb%3D-8+%E5%8C%96%E7%AE%80%E5%B9%B6%E6%B1%82%E5%80%BC%21)
(a+2b)(a-2b)-(2a-b)(-2a-b),其中a=8,b=-8 化简并求值!
(a+2b)(a-2b)-(2a-b)(-2a-b),其中a=8,b=-8 化简并求值!
(a+2b)(a-2b)-(2a-b)(-2a-b),其中a=8,b=-8 化简并求值!
(a+2b)(a-2b)-(2a-b)(-2a-b)
=(a+2b)(a-2b)+(2a-b)(2a+b)
=a²-(2b)²+(2a)²-b²
=a²-4b²+4a²-b²
=5a²-5b²
=5(a²-b²)
=5(a+b)(a-b)
=5*0*16
=0
(a+2b)(a-2b)+(2a-b)(2a+b)=a^2-4b^2+4a^2-b^2=0
a=-b
=b.(-3b)-(-3b)b
=0
(a+2b)(a-2b)-(2a-b)(-2a-b)
=(a+2b)(a-2b)-(2a-b)(-2a-b)
=(a+2b)(a-2b)+(2a-b)(2a+b)
=a²-(2b)²+(2a)²-b²
=a²-4b²+4a²-b²
=5a²-5b²
将a=8,b=-8代入得
原式=5×8²-5×﹙-8﹚²
=0
-2a(a+b)+b(a+b)
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-a-b+2b^2/a+b
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