x^2+10x+25y^2+14y+492z^2+12z+18x^2-8x+16a^2-12a+363b^2-6b+36

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/16 04:49:34

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+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)

(1) (a+2b/a-b)+(b/b-a)-(2a/a-b); (2) (y/x-y+z)+(2x+z/y-x-z)- (a+2b-1)²与(2x+y+z)(2x-y-z)这两题请详解, (-2a-b)②-(-2a+b)(-b-2a) （x-y+z）（-x+y+z）+（x-y）②其中z=-1 A=｛(x,y)|2x+3y=12,x∈N,y∈N｝.B=｛x|14/(3-x)∈Z,x∈Z｝试用列举法表示集合A.B (z-2x)的二次方+|y-2z|=0,则代数式2x+2y+z等于( ) A 5x B 9x c 12x d 16x (y-x)/(x+z-2y)(x+y-2z)+(z-y)(x-y)/(x+y-2z)(y+z-2x)+(x-z)(y-z 计算下面的题(过程)(a-b)(-a-b)(x-y)(y+x)^2(x-y+z)^2(x^2+y^2)(x^4+y^4) ∮τ (y-z)dx+(z-x)dy+(x-y)dz,τ为椭圆x^2+y^2=a^2,x/a+y/b=1 如果|x+y+z-6|+|2x+3y-z-12|+|2x-y-z|=0求x,y, x,y,z正整数 x>y>z证明 x^2x +y^2y+z^2z>x^(y+z)*y^(x+z)*z^(x+y) 1.x+y=16,y+z=12,z+x=102.3x-y+z=4,2x+3y-z=12,x+y+z=63.x+y+z=6 乘法公式计算题(1)(2x+y-z+10)(2x-y+z+10)(2)(a+b)^2(a-b)^2-(a^2+b^2)(