(2x+y)2.(2x-y)2= (2n+3n)2-(6n+9n)= 要求有过程

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/29 12:48:32

(2x+y)2.(2x-y)2= (2n+3n)2-(6n+9n)= 要求有过程
（2X+Y）^2*(2X-Y)^2=??
(2^n+3^n)^2-(6^n+9^n)=??

（2X+Y)^2× (2X-Y) ^2
=[（2X+Y）× (2X-Y)] ^2
=（4 X^2-Y ^2)^2
=（4 X^2)^2 - 2×4 X^2×Y^2 +（Y^2)^2
=16 X^4—8 X^2Y^2+Y^4

(2^n+3^n)^2-(6n+9n)
=（2^n)^2+2×2^n×3^n+（3^n)^2- 6^n- 9^n
=4^n+2×（2^n×3^n）+9^n- 6^n- 9^n
=4^n+2×（2×3)^n- 6^n
=4^n+2×6^n- 6^n
=4^n+6^n

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