分解因式(a^2+5a+3)(a^2+5a-2)-6 x^2+4xy+4y^2+4x+8y+3 (x+3)(x^2-1)
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分解因式(a^2+5a+3)(a^2+5a-2)-6 x^2+4xy+4y^2+4x+8y+3 (x+3)(x^2-1)(x+5)-20
(a^2+5a+3)(a^2+5a-2)-6
x^2+4xy+4y^2+4x+8y+3
(x+3)(x^2-1)(x+5)-20
(a^2+5a+3)(a^2+5a-2)-6
x^2+4xy+4y^2+4x+8y+3
(x+3)(x^2-1)(x+5)-20
![分解因式(a^2+5a+3)(a^2+5a-2)-6 x^2+4xy+4y^2+4x+8y+3 (x+3)(x^2-1)](/uploads/image/z/18504434-2-4.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%28a%5E2%2B5a%2B3%29%28a%5E2%2B5a-2%29-6+x%5E2%2B4xy%2B4y%5E2%2B4x%2B8y%2B3+%28x%2B3%29%28x%5E2-1%29)
(a^2+5a+3)(a^2+5a-2)-6
设a²+5a=A
原式=(A+3)(A-2)-6
=A²+A-6-6
=A²+A-12
=(A+4)(A-3)
再把a²+5a=A代入
原式= (A+4)(A-3)
=(a²+5a+4)(a²+5a-3)
=(a+1)(a+4)(a²+5a-3)
x^2+4xy+4y^2+4x+8y+3
=[x²+2×2xy+(2y)²]+(4x+8y)+3
=(x+2y)²+4(x+2y)+3
=(x+2y+1)(x+2y+3)
(x+3)(x^2-1)(x+5)-20
=(x+3)(x+1)(x-1)(x+5)-20
=(x²+4x+3)(x²+4x-5)-20
=(x²+4x)²-2(x²+4x)-15-20
=(x²+4x)²-2(x²+4x)-35
=(x²+4x-7)(x²+4x+5)
设a²+5a=A
原式=(A+3)(A-2)-6
=A²+A-6-6
=A²+A-12
=(A+4)(A-3)
再把a²+5a=A代入
原式= (A+4)(A-3)
=(a²+5a+4)(a²+5a-3)
=(a+1)(a+4)(a²+5a-3)
x^2+4xy+4y^2+4x+8y+3
=[x²+2×2xy+(2y)²]+(4x+8y)+3
=(x+2y)²+4(x+2y)+3
=(x+2y+1)(x+2y+3)
(x+3)(x^2-1)(x+5)-20
=(x+3)(x+1)(x-1)(x+5)-20
=(x²+4x+3)(x²+4x-5)-20
=(x²+4x)²-2(x²+4x)-15-20
=(x²+4x)²-2(x²+4x)-35
=(x²+4x-7)(x²+4x+5)
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