(x+3)(x+4)(x+5)(x+6)简便运算

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(x+3)(x+4)(x+5)(x+6)简便运算
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(x+3)(x+4)(x+5)(x+6)简便运算
(x+3)(x+4)(x+5)(x+6)简便运算

(x+3)(x+4)(x+5)(x+6)简便运算
(x+3)(x+4)(x+5)(x+6)=[(x+3)(x+6)][(x+4)(x+5)]
=(x^2+9x+18)(x^2+9x+20)
=(x^2+9x)^2+38(x^2+9x)+360
=x^4+18x^3+81x^2+38x^2+342x+360
=x^4+18x^3+119x^2+342x+360.


原式=[(x+3)(x+6)][(x+4)(x+5)]+1-1
=[(x^2+9x)+18][(x^2+9x)+20]+1-1
=(x^2+9x)^2+38(x^2+9x)+360+1-1
=(x^2+9x)^2+38(x^2+9x)+360-1
=(x^2+9x+19)^2-1
希望能帮助到您,望采纳,谢谢

(x+3)(x+4)(x+5)(x+6)
=[(x+3)(x+6)][(x+4)(x+5)]
=[(x²+9x)+18][(x²+9x)+20]
=(x²+9x)²+38(x²+9x)+360
=(x^4+18x^3+81x^2)+(38x^2+342x)+360
=x^4+18x^3+119x^2+342x+360.

这个可以知道这个真不知道,这初中的?

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