初二因式分解计算题 a^4+a^2—a·b^3—ab=(“—”为减号,“·”为乘号,为了区分(ab)^2和 a乘以b的^2)xy—xz—y^2+2yz=x^2—xy+4x—4y=x^3+3·x^2—4x—12=x^3+6x^2+11x+6=2·x(^3n) — 12·X(^2n )· y(^2)+18·x
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![初二因式分解计算题 a^4+a^2—a·b^3—ab=(“—”为减号,“·”为乘号,为了区分(ab)^2和 a乘以b的^2)xy—xz—y^2+2yz=x^2—xy+4x—4y=x^3+3·x^2—4x—12=x^3+6x^2+11x+6=2·x(^3n) — 12·X(^2n )· y(^2)+18·x](/uploads/image/z/1167589-37-9.jpg?t=%E5%88%9D%E4%BA%8C%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E8%AE%A1%E7%AE%97%E9%A2%98+a%5E4%EF%BC%8Ba%5E2%E2%80%94a%C2%B7b%5E3%E2%80%94ab%3D%EF%BC%88%E2%80%9C%E2%80%94%E2%80%9D%E4%B8%BA%E5%87%8F%E5%8F%B7%2C%E2%80%9C%C2%B7%E2%80%9D%E4%B8%BA%E4%B9%98%E5%8F%B7%2C%E4%B8%BA%E4%BA%86%E5%8C%BA%E5%88%86%EF%BC%88ab%EF%BC%89%5E2%E5%92%8C+a%E4%B9%98%E4%BB%A5b%E7%9A%84%5E2%EF%BC%89xy%E2%80%94xz%E2%80%94y%5E2%2B2yz%3Dx%5E2%E2%80%94xy%2B4x%E2%80%944y%3Dx%5E3%2B3%C2%B7x%5E2%E2%80%944x%E2%80%9412%3Dx%5E3%2B6x%5E2%2B11x%2B6%3D2%C2%B7x%28%5E3n%29+%E2%80%94+12%C2%B7X%28%5E2n+%EF%BC%89%C2%B7+y%EF%BC%88%5E2%EF%BC%89%2B18%C2%B7x)
初二因式分解计算题 a^4+a^2—a·b^3—ab=(“—”为减号,“·”为乘号,为了区分(ab)^2和 a乘以b的^2)xy—xz—y^2+2yz=x^2—xy+4x—4y=x^3+3·x^2—4x—12=x^3+6x^2+11x+6=2·x(^3n) — 12·X(^2n )· y(^2)+18·x
初二因式分解计算题
a^4+a^2—a·b^3—ab=(“—”为减号,“·”为乘号,为了区分(ab)^2和 a乘以b的^2)
xy—xz—y^2+2yz=
x^2—xy+4x—4y=
x^3+3·x^2—4x—12=
x^3+6x^2+11x+6=
2·x(^3n) — 12·X(^2n )· y(^2)+18·x(^n) · y(^4)= (这里有点乱,所以乘方都用括号打起来了)
(ax+by)^2+(ay—bx)^2+c^2 · x^2+c^2 · y^2
(x^2+y^2)^3+(z^2—x^2)^3—(y^2+z^2)^3
x^6+64·y^6+12x(^2)y(^2)—1
看着有点乱,其实抄在纸上不然,只限今晚!越快越好
初二因式分解计算题 a^4+a^2—a·b^3—ab=(“—”为减号,“·”为乘号,为了区分(ab)^2和 a乘以b的^2)xy—xz—y^2+2yz=x^2—xy+4x—4y=x^3+3·x^2—4x—12=x^3+6x^2+11x+6=2·x(^3n) — 12·X(^2n )· y(^2)+18·x
a^4+a^2—a·b^3—ab=a(a³-b³)+a(a-b)=a(a-b)(a²+ab+b²)+a(a-b)=a(a-b)(a²+ab+b²+1)
xy—xz—y^2+2yz=x(y-z)-y(y-z)=(y-z)(x-y)
x^2—xy+4x—4y=x(x-y)+4(x-y)=(x-y)(x+4)
x^3+3·x^2—4x—12=x²(x+3)-4(x+3)=(x+3)(x²-4)=(x+3)(x-2)(x+2)
x^3+6x^2+11x+6=x³+6x²+9x+2x+6=(x+3)²+2(x+3)=(x+3)(x+5)
2·x(^3n) — 12·X(^2n )· y(^2)+18·x(^n) · y(^4)=
=2x^n(x^2n-6x^ny^2+9y^4
=2x^n(x^n-3y²)²
(ax+by)^2+(ay—bx)^2+c^2 · x^2+c^2 · y^2
=a²x²+2abxy+b²y²+a²y²-2abxy+b²x²+c²x²+c²y²
=a²x²+b²y²+a²y²+b²x²+c²x²+c²y²
=a²(x²+y²)+b²(x²+y²)+c²(x²+y²)
=(x²+y²)(a²+b²+c²)
(x^2+y^2)^3+(z^2—x^2)^3—(y^2+z^2)^3
=(x²+y²+z²-x²)[(x²+y²)²-(x²+y²)(z²-x²)+(z²-x²)²]-(y²+z²)³
=(y²+z²)(x^4+2x²y²+y^4-x²z²-y²z²+x^4+x²y²+z^4-2x²z²+x^4-y^4-2y²z²-z^4)
=(y²+z²)(3x^4+3x²y²-3x²z²-3y²z²)
=3(y²+z²)(x^4+x²y²-x²z²-y²z²)
=3(y²+z²)[x²(x²+y²)-z²(x²+y²)]
=3(y²+z²)(x²+y²)(x²-z²)
x^6+64·y^6+12x(^2)y(^2)—1
a^4+a^2-ab^3-ab
=a(a³-b³)+a(a-b)
=a(a-b)(a²+b²+ab+1)
xy—xz—y^2+yz
=xy-xz-y²+yz
=x(y-z)-y(y-z)
=(y-z)(x-y);
x^2—xy+4x—4y
=x(x+4)-y(x+4)
=(x-...
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a^4+a^2-ab^3-ab
=a(a³-b³)+a(a-b)
=a(a-b)(a²+b²+ab+1)
xy—xz—y^2+yz
=xy-xz-y²+yz
=x(y-z)-y(y-z)
=(y-z)(x-y);
x^2—xy+4x—4y
=x(x+4)-y(x+4)
=(x-y)(x+4);
x^3+3·x^2—4x—12
=x²(x+3)-4(x+3)
=(x²-4)(x+3)
=(x-2)(x+2)(x+3);
x^3+6x^2+11x+6
=x³+6x²+8x+3x+6
=x(x²+6x+8)+3(x+2)
=x(x+2)(x+4)+3(x+2)
=(x+2)(x²+4x+3)
=(x+2)(x+1)(x+3)
2·x(^3n) — 12·X(^2n )· y(^2)+18·x(^n) · y(^4)
=2x^(3n)-6x^(2n)y²-6x^(2n)y²+18x^ny^4
=2x^(2n)(x^n-3y²)-6x^ny²(x^n-3y²)
=(2x^(2n)-6x^ny²)(x^n-3y²)
=2x^n(x^n-3y²)²;
(ax+by)^2+(ay—bx)^2+c^2 · x^2+c^2 · y^2
=a²x²+b²y²+a²y²+b²x²+c²x²+c²y²
=(a²+b²+c²)x²+(a²+b²+c²)y²
=(a²+b²+c²)(x²+y²)
(x^2+y^2)^3+(z^2—x^2)^3—(y^2+z^2)^3
=(x²+y²+z²-x²)[(x²+y²)²-(x²+y²)(z²-x²)+(z²-x²)²]-(y²+z²)³
=(y²+z²)(x^4+2x²y²+y^4-x²z²-y²z²+x^4+x²y²+z^4-2x²z²+x^4-y^4-2y²z²-z^4)
=(y²+z²)(3x^4+3x²y²-3x²z²-3y²z²)
=3(y²+z²)(x^4+x²y²-x²z²-y²z²)
=3(y²+z²)[x²(x²+y²)-z²(x²+y²)]
=3(y²+z²)(x²+y²)(x²-z²)
最后一题有问题啊
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