x^2+10x+25y^2+14y+492z^2+12z+18x^2-8x+16a^2-12a+363b^2-6b+36p^4-24q^22p^4-18p^2q^2x^4y^2-4x^2y^432xy^4-2x^5642^4-4b^4

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x^2+10x+25y^2+14y+492z^2+12z+18x^2-8x+16a^2-12a+363b^2-6b+36p^4-24q^22p^4-18p^2q^2x^4y^2-4x^2y^432xy

x^2+10x+25y^2+14y+492z^2+12z+18x^2-8x+16a^2-12a+363b^2-6b+36p^4-24q^22p^4-18p^2q^2x^4y^2-4x^2y^432xy^4-2x^5642^4-4b^4
x^2+10x+25
y^2+14y+49
2z^2+12z+18
x^2-8x+16
a^2-12a+36
3b^2-6b+3
6p^4-24q^2
2p^4-18p^2q^2
x^4y^2-4x^2y^4
32xy^4-2x^5
642^4-4b^4

x^2+10x+25y^2+14y+492z^2+12z+18x^2-8x+16a^2-12a+363b^2-6b+36p^4-24q^22p^4-18p^2q^2x^4y^2-4x^2y^432xy^4-2x^5642^4-4b^4
x^2+10x+25
=(x+5)^2
y^2+14y+49
=(y+7)^2
2z^2+12z+18
=2(z^2+6z+9)
=2(z+3)^2
x^2-8x+16
=(x-4)^2
a^2-12a+36
=(a-6)^2
3b^2-6b+3
=3(b^2-2b+1)
=3(b-1)^2
6p^4-24q^2
=6(p^4-4q^2)
=6(p^2+2q)(p^2-2q)
2p^4-18p^2q^2
=2p^2(p^2-9q^2)
=2p^2(p+3q)(p-3q)
x^4y^2-4x^2y^4
=x^2y^2(x^2-4y^2)
=x^2y^2(x+2y)(x-2y)
32xy^4-2x^5
=2x(16y^4-x^4)
=2x(4y^2+x^2)(4y^2-x^2)
=2x(4y^2+x^2)(2y+x)(2y-x)
642^4-4b^4
=(642^2+2b^2)(642^2-2b^2)
=16(321^2+b^2)(321^2-b^2)
=16(103042+b^2)(321+b)(321-b)

x^2+10x+25=(x+5)^2
y^2+14y+49=(y+7)^2
2z^2+12z+18=2(z+3)^2
x^2-8x+16=(x-4)^2
a^2-12a+36=(a-6)^2
3b^2-6b+3=3(b-1)^2
6p^4-24q^2=6(p^2-2q)(p^2+2q)
2p^4-18p^2q^2=2p^2(p^2-9q^2)...

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x^2+10x+25=(x+5)^2
y^2+14y+49=(y+7)^2
2z^2+12z+18=2(z+3)^2
x^2-8x+16=(x-4)^2
a^2-12a+36=(a-6)^2
3b^2-6b+3=3(b-1)^2
6p^4-24q^2=6(p^2-2q)(p^2+2q)
2p^4-18p^2q^2=2p^2(p^2-9q^2)=2p^2(p-3q)(p+3q)
x^4y^2-4x^2y^4=x^2y^2(x^2-4y^2)=x^2y^2(x-2y)(x+2y)
32xy^4-2x^5
=2x(16y^4-x^4)
=2x(4y^2+x^2)(4y^2-x^2)
=2x(4y^2+x^2)(2y+x)(2y-x)
642^4-4b^4
=4(4a^2+b^2)(4a^2-b^2)
=4(4a^2+b^2)(2a+b)(2a-b)

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x^2+10x+25=(x+5)^2
y^2+14y+49=(y+7)^2
2z^2+12z+18=2(z+3)^2
x^2-8x+16=(x-4)^2
a^2-12a+36=(a-6)^2
3b^2-6b+3=3(b-1)^2
6p^4-24q^2=6(p^4-q^2)=6(p^2+q)(p^2-q)
2p^4-18p^2q^2=2p^2(...

全部展开

x^2+10x+25=(x+5)^2
y^2+14y+49=(y+7)^2
2z^2+12z+18=2(z+3)^2
x^2-8x+16=(x-4)^2
a^2-12a+36=(a-6)^2
3b^2-6b+3=3(b-1)^2
6p^4-24q^2=6(p^4-q^2)=6(p^2+q)(p^2-q)
2p^4-18p^2q^2=2p^2(p^2-q^2)=2p^2(p-q)(p+q)
x^4y^2-4x^2y^4=x^2y^2(x^2-4y^2)=x^2y^2(x-2y)(x+2y)
32xy^4-2x^5=2x(16y^4-x^4)=2x(4y^2+x^2)(2y+x)(2y-x)
642^4-4b^4 =4(16a^4-b^4)=4(4a^2+b^2)(2a+b)(2a-b)
642^4-4b^4 应该是64a^4-4b^4

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