八年级数学题 化简公式和分解因式
1个回答
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化简:[5xy(x-3xy)-(-3xy)]÷
(5xy)
=[5x^2y^2(x-3y)+27x^6y^6]÷
(25x^2y^2)
=x^2y^2[5x-15y+27x^4y^4]÷
(25x^2y^2)
=(5x-15y+27x^4y^4)/25
(a+2)(a-2)(a+4)
=(a-4)(a+4)
=(a^4-16)^2
(x+y-z)(x-y+z)
=(x+(y-z))(x-(y-z))
=x^2-(y-z)^2
=x^2-y^2+2yz-z^2
(a+b)+(a+b)(a-b)-2ab
=a^2+2ab+b^2+a^2-b^2-2ab
=2a^2
分解因式:m+6m+9m
=m(m^2+6m+9)
=m(m+3)^2
-ab(a-b)+a(b-a)
=-ab(a-b)+a(a-b)
=-ab(a-b)(b-1)
-x的四次方+8
=-1/2(x^4-16)
=-1/2(x^2+4)(x^2-4)
=-1/2(x^2+4)(x-2)(x+2)
(x-5)+8(5-x)+16
=(x-5)
-8(x-5)+16
=(x-5
-4)
=(x-9)
(5xy)
=[5x^2y^2(x-3y)+27x^6y^6]÷
(25x^2y^2)
=x^2y^2[5x-15y+27x^4y^4]÷
(25x^2y^2)
=(5x-15y+27x^4y^4)/25
(a+2)(a-2)(a+4)
=(a-4)(a+4)
=(a^4-16)^2
(x+y-z)(x-y+z)
=(x+(y-z))(x-(y-z))
=x^2-(y-z)^2
=x^2-y^2+2yz-z^2
(a+b)+(a+b)(a-b)-2ab
=a^2+2ab+b^2+a^2-b^2-2ab
=2a^2
分解因式:m+6m+9m
=m(m^2+6m+9)
=m(m+3)^2
-ab(a-b)+a(b-a)
=-ab(a-b)+a(a-b)
=-ab(a-b)(b-1)
-x的四次方+8
=-1/2(x^4-16)
=-1/2(x^2+4)(x^2-4)
=-1/2(x^2+4)(x-2)(x+2)
(x-5)+8(5-x)+16
=(x-5)
-8(x-5)+16
=(x-5
-4)
=(x-9)
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