因式分解.(1)3a平方+bc-3ac-ab (2)a平方m+bn-an-abm (3)4xy-3xz+8y-6z (4
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3个回答

(1)3a^2+bc-3ac-ab

=(3a^2-3ac)-(ab-bc)

=3a(a-c)-b(a-c)

=(3a-b)(a-c)

(2)a^2m+bn-an-abm

=(a^2m-abm)-(an-bn)

=am(a-b)-n(a-b)

=(am-n)(a-b)

(3)4xy-3xz+8y-6z

=(4xy-3xz)+(8y-6z)

=x(4y-3z)+2(4y-3z)

=(x+2)(4y-3z)

(4)x^3+3x^2+3x+9

=x^2(x+3)+3(x+3)

=(x^2+3)(x+3)

(5)题目不对

(6)4x^2-4xy+y^2-a^2

=(2x-y)^2-a^2

=(2x-y-a)(2x-y+a)

(7)5ax+7ay-5bx-7by

=a(5x+7y)-b(5x+7y)

=(a-b)(5x+7y)

(8)1-m^2-n^2+2mn

=1-(m-n)^2

=(1-m+n)(1+m-n)

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