因式分解 x^4+64x 25(x+y)^2-16(x-y)^2 p^2(p+q)^2-q^2(p-q)^2 (a+b+
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因式分解 x^4+64x 25(x+y)^2-16(x-y)^2 p^2(p+q)^2-q^2(p-q)^2 (a+b+c)^2-(a-b-c)^2
还有
x^2-4y^2+x+2y
x^2-6x+9-y^2
a^3x^2-c^3x^2-a^3y^2+c^3y^2
x^5-x^3+x^2-1
10a^2x+21xy^2-14ax^2-15ay^2
一开始的题目
x^4+64x
25(x+y)^2-16(x-y)^2
p^2(p+q)^2-q^2(p-q)^2
(a+b+c)^2-(a-b-c)^2
还有
x^2-4y^2+x+2y
x^2-6x+9-y^2
a^3x^2-c^3x^2-a^3y^2+c^3y^2
x^5-x^3+x^2-1
10a^2x+21xy^2-14ax^2-15ay^2
一开始的题目
x^4+64x
25(x+y)^2-16(x-y)^2
p^2(p+q)^2-q^2(p-q)^2
(a+b+c)^2-(a-b-c)^2
x^4+64x=x(x+2)(x^2-2x^2+4)
25(x+y)^2-16(x-y)^2 =[5(x+y)+4(x-y)][5(x+y)-4(x-y]=(x+9y)(9x-y)
p^2(p+q)^2-q^2(p-q)^2=[p(p+q)-q(p-q)][p(p+q)+q(p-q)]=(p^2+q^2)(p^2+2pq-q^2)
(a+b+c)^2-(a-b-c)^2=(a+b+c-a+b+c)(a+b+c+a-b-c) =4a(b+c)
x^2-4y^2+x+2y=(x^2-4y^2)+(x+2y)=(x+2y)(x-2y)+(x+2y)=(x+2y)(x-2y+1)
x^2-6x+9-y^2=(x^2-6x+9)-y^2=(x-3)^2-y^2=(x-y-3)(x+y-3)
a^3x^2-c^3x^2-a^3y^2+c^3y^2=(a^3x^2-c^3x^2)-(a^3y^2-c^3y^2)=x^2(a^3-c^3)-y^2(a^3-c^3)
=(a^3-c^3)(x^2-y^2)=(a-c)(a^2+ac+c^2)(x+y)(x-y)
x^5-x^3+x^2-1=(x^5-x^3)+(x^2-1)=x^3(x^2-1)+(x^2-1)=(x-1)(x+1)^2(x^2-x+1)
10a^2x+21xy^2-14ax^2-15ay^2=?打错了吧?
25(x+y)^2-16(x-y)^2 =[5(x+y)+4(x-y)][5(x+y)-4(x-y]=(x+9y)(9x-y)
p^2(p+q)^2-q^2(p-q)^2=[p(p+q)-q(p-q)][p(p+q)+q(p-q)]=(p^2+q^2)(p^2+2pq-q^2)
(a+b+c)^2-(a-b-c)^2=(a+b+c-a+b+c)(a+b+c+a-b-c) =4a(b+c)
x^2-4y^2+x+2y=(x^2-4y^2)+(x+2y)=(x+2y)(x-2y)+(x+2y)=(x+2y)(x-2y+1)
x^2-6x+9-y^2=(x^2-6x+9)-y^2=(x-3)^2-y^2=(x-y-3)(x+y-3)
a^3x^2-c^3x^2-a^3y^2+c^3y^2=(a^3x^2-c^3x^2)-(a^3y^2-c^3y^2)=x^2(a^3-c^3)-y^2(a^3-c^3)
=(a^3-c^3)(x^2-y^2)=(a-c)(a^2+ac+c^2)(x+y)(x-y)
x^5-x^3+x^2-1=(x^5-x^3)+(x^2-1)=x^3(x^2-1)+(x^2-1)=(x-1)(x+1)^2(x^2-x+1)
10a^2x+21xy^2-14ax^2-15ay^2=?打错了吧?
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