因式分解(有式) *=次方 拜託快一點 (4a-5b)*2-7c(5b-4a) 3a-bx+3b-ax 4ax-3by+6sy-2bx 3p+2q*2-q-6pq -m*2-3mr-3pr-mp x*4+cx*3-2x*3-2cs*2?

因式分解
(1) (4a－5b)^2－7c(5b－4a)
=(4a－5b)^2+7c(4a－5b)
=(4a－5b+7c)(4a－5b)
(2) 3a－bx+3b－ax
=(3a+3b)－(ax+bx)
=3(a+b)－x(a+b)
=(3－x)(a+b)
(3) 4ax－3by+6ay－2bx
=(4ax+6ay)－(3by+2bx)
=2a(2x+3y)－b(3y+2x)
=(2a－b)(2x+3y)
(4) 3p+2q^2－q－6pq
=(3p－q)+(2q^2－6pq)
=(3p－q)+2q(q－3p)
=(1－2q)(3p－q)
(5) －m^2－3mr－3pr－mp
=－(m^2+3mr)－(3pr+mp)
=－m(m+3r)－p(m+3r)
=－(m+p)(m+3r)
(6) x^4+cx^3－2x^3－2cx^2
=(x^4+cx^3)－(2x^3+2cx^2)
=x^3(x+2c)－2x^2(x+2c)
=(x^3－2x^2)(x+2c)

(4a-5b)^2-7c(5b-4a)
=(4a-5c)(4a-5b+7c)

3a-bx+3b-ax
=3(a+b)-(a+b)x
=(a+b)(3-x)

4ax-3by+6ay-2bx
=2x(2a-b)+3y(2a-b)
=(2a-b)(2x+3y)

3p+2q^2-q-6pq
=q(2q-1)+3p(1-2q)
=(2q-1)(q-3p)

-m^2-3mr-3pr-mp
=-m(m+3r)-p(3r+m)
=-(m+3r)(m+p)

x*4+cx*3-2x*3-2cx*2
=x^3(x-2)+cx^2(x-2)
=x^2(x+c)(x-2)

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