(x2-3)(x2-2)-2十字相乘法做 (x2+3x+2)(x2+7x+12)-24十字相乘法做

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(x2-3)(x2-2)-2十字相乘法做 (x2+3x+2)(x2+7x+12)-24十字相乘法做

(x2-3)(x2-2)-2十字相乘法做 (x2+3x+2)(x2+7x+12)-24十字相乘法做
(x2-3)(x2-2)-2十字相乘法做 (x2+3x+2)(x2+7x+12)-24十字相乘法做

(x2-3)(x2-2)-2十字相乘法做 (x2+3x+2)(x2+7x+12)-24十字相乘法做
①(x^2-3)(x^2-2)-2
=x^4-5x^2+4
=(x^2-1)(x^2-4)
=(x+1)(x-1)(x+2)(x-2)
②(x^2+3x+2)(x^2+7x+12)-24
=x^4+7x^3+12x^2+3x^3+21x^2+36x++2x^2+14x+24-24
=x^4+10x^3+35x^2+50x
=x(x^3+10x^2+35x+50)
=x[(x^3+10x^2+25x)+(10x+50)]
=x[x(x+5)^2+10(x+5)]
=x[(x+5)(x(x+5)+10)]
=x(x+5)(x^2+5x+10)