中二簡單數學~~~

1. 6ac - bd - 6ad + bc
= 6ac - 6ad + bc - bd
= 6a(c - d) + b(c - d)
= (6a + b)(c - d)
2. 14rx - 40sy - 35sx + 16ry
= 14rx - 35sx + 16ry - 40sy
= 7x(2r - 5s) + 8y(2r - 5s)
= (7x + 8y)(2r - 5s)
3. -3ad + 2bc + 2ac - 3bd
= -3ad - 3bd + 2ac + 2bc
= -3d(a + b) + 2c(a + b)
= (a + b)(2c - 3d)
4. -ps - 2qr - pr - 2qs
= -(ps + pr + 2qs + 2qr)
= -[p(s + r) + 2q(s + r)]
= -(p + 2q)(s + r)

1)
6ac-bd-6ad+bc
=6ac-6ad+bc-bd
=6a(c-d)+b(c-d)
=(6a+b)(c-d)

2)
14rx-40sy-35sx+16ry
=16ry-40sy+14rx-35sx
=8y(2r-5s)+7x(2r-5s)
=(8y+7x)(2r-5s)

3)
-3ad + 2bc + 2ac - 3bd
= -3ad - 3bd + 2ac + 2bc
= -3d(a + b) + 2c(a + b)
= (a + b)(2c - 3d)

4)
-ps - 2qr - pr - 2qs
= -(ps + pr + 2qs + 2qr)
= -[p(s + r) + 2q(s + r)]
= -(p + 2q)(s + r)

1.6ac-bd-6ad+bc
=6a(c-d) + b(c-d)
=(6a+b)(c-d)



2.14rx-40sy-35sx+16ry
=2r(7x+8y) - 5s(7x+8y)
=(2r-5s)(7x+8y)



3.-3ad+2bc+2ac-3bd
=a(2c-3d) + b(2c-3d)
=(a+b)(2c-3d)



4.-ps-2qr-pr-2qs
= -p(s+r) - 2q(s+t)
=(-p-2q) (s+r)


希望幫到你啦..

1.
6ac-bd-6ad+bc
=6ac-6ad-bd+bc
=6a(c-d)-b(d-c)
=6a(c-d)+b(c-d)
=(c-d)(6a+b)

2.
14rx-40sy-35sx+16ry
=14rx-35sx-40sy+16ry
=7x(2r-5s)-8y(5s-2r)
=7x(2r-5s)+8y(2r-5s)
=(7x+8y)(2r-5s)

3.
-3ad+2bc+2ac-3bd
=-3ad-3bd+2bc+2ac
=-3d(a+b)+2c(a+b)
=(-3d+2c)(a+b)

4.
-ps-2qr-pr-2qs
=p(-s-r)-2q(s+r)
=-p(s+r)-2q(s+r)
=(-p-2q)(s+r)