简便运算:1.(2x-3y)平方(2x+3y)平方(4x平方+9y平方)平方2.(x-1)(x+1)(x+3)(x+5)3.x(x+1)(x+2)(x+3)4.(x+1)(x+2)(x+3)(x+4)注:2.3.4是同一类型的
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/29 09:16:05
![简便运算:1.(2x-3y)平方(2x+3y)平方(4x平方+9y平方)平方2.(x-1)(x+1)(x+3)(x+5)3.x(x+1)(x+2)(x+3)4.(x+1)(x+2)(x+3)(x+4)注:2.3.4是同一类型的](/uploads/image/z/978044-68-4.jpg?t=%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%97%EF%BC%9A1.%282x-3y%29%E5%B9%B3%E6%96%B9%282x%2B3y%29%E5%B9%B3%E6%96%B9%284x%E5%B9%B3%E6%96%B9%2B9y%E5%B9%B3%E6%96%B9%29%E5%B9%B3%E6%96%B92.%28x-1%29%28x%2B1%29%28x%2B3%29%28x%2B5%293.x%28x%2B1%29%28x%2B2%29%28x%2B3%294.%28x%2B1%29%28x%2B2%29%28x%2B3%29%28x%2B4%29%E6%B3%A8%EF%BC%9A2.3.4%E6%98%AF%E5%90%8C%E4%B8%80%E7%B1%BB%E5%9E%8B%E7%9A%84)
简便运算:1.(2x-3y)平方(2x+3y)平方(4x平方+9y平方)平方2.(x-1)(x+1)(x+3)(x+5)3.x(x+1)(x+2)(x+3)4.(x+1)(x+2)(x+3)(x+4)注:2.3.4是同一类型的
简便运算:
1.(2x-3y)平方(2x+3y)平方(4x平方+9y平方)平方
2.(x-1)(x+1)(x+3)(x+5)
3.x(x+1)(x+2)(x+3)
4.(x+1)(x+2)(x+3)(x+4)
注:2.3.4是同一类型的
简便运算:1.(2x-3y)平方(2x+3y)平方(4x平方+9y平方)平方2.(x-1)(x+1)(x+3)(x+5)3.x(x+1)(x+2)(x+3)4.(x+1)(x+2)(x+3)(x+4)注:2.3.4是同一类型的
1.(2x-3y)平方(2x+3y)平方(4x平方+9y平方)平方
=[(2x-3y)(2x+3y)](4x平方+9y平方)平方
=[4x^2-9y^2][4x^2+9y^2]
=16x^4-81y^4
2.(x-1)(x+1)(x+3)(x+5)
=[(x-1)(x+5)][(x+1)(x+3)]
=[x^2+4x-5][x^2+4x+3]
=[x^2+4x]^2-2(x^2+4x)-15
=x^4+8x^3+16x^2-2x^2-8x-15
=x^4+8x^3+14x^2-8x-15
3.x(x+1)(x+2)(x+3)
=[x(x+3)][(x+1)(x+2)]
=[x^2+3x][x^2+3x+2]
=[x^2+3x]+2[x^2+3x]
=x^4+6x^3+9x^2+2x^2+6x
=x^4+6x^3+11x^2+6x
4.(x+1)(x+2)(x+3)(x+4)
=[(x+1)(x+4)][(x+2)(x+3)]
=[x^2+5x+4][x^2+5x+6]
=[x^2+5x]^2+10[x^2+5x]+24
=x^4+10x^3+25x^2+10x^2+50x+24
=x^4+10x^3+35x^2+50x+24
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