因式分解 X的2次方-5(y+1)x+(2y+3)(3y+2)

问题描述:

因式分解 X的2次方-5(y+1)x+(2y+3)(3y+2)

用matlab求解syms x y
>> factor(x^2-5*y*x-5*x+6*y^2+13*y+6)

ans =

(x-2*y-3)*(x-3*y-2)

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利用十字相乘法
X的2次方-5(y+1)x+(2y+3)(3y+2)
=[x-(2y+3)][x-(3y+2)]
=(x-2y-3)(x-3y-3y-2)

利用十字相乘法
X的2次方-5(y+1)x+(2y+3)(3y+2)
=[x-(2y+3)][x-(3y+2)]
=(x-2y-3)(x-3y-3y-2)