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

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/04 20:18:25
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+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)...

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^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)

收起

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

收起

x+y)^2-14(x+y)+49 25(x-y)*2+10(y-x)+125（x-y)^2+10(y-x)+1 x-y/x-x+y/y-(x+y)(x-y)/y² y/x=2 化简y(x+y)+(x+y)(x-y)-x^2 (x-y)^2+5(x-y)-14 (x-y)^2+10(y-x)+25因式分解 （x-y）²-10（y-x）+25（x-y）²+10（y-x）+25只要结果 (x+y)(x-y)-(x-y)^2如题 (x+y)(x-y)-(x-y)^2 【2(x-y)(x-y)(x-y)-8(x-y)(x-y)(x+y)+6y(x-y)(x-y)]/2(x-y)(x-y) 因式分解x(x+y)(x-y)-x(x+y)^2 (x-y)^2-14(y-x)+49的解 分解因式（x+y)^2-14(x+y）+49 (2x-y)^2-10(2x-y)+25 因式分解 (x+y)^2-10(x+y)^2+25 （x+y)^2-10(x+y)+25因式分解 25(y-x)^2+10(y-x)+1,因式分解 25（x+y)^2+10(y-x)+1=?因式分解 25(x-y)^2+10(y-x)+1= 25(X-Y)^2+10(x-y)+1?