f.2簡單factorization

1.4p2-16p+16
=4(p2-4p+4)
=4(p-2)2

2.3ac-3bc+4a-4b
=3c(a-b)+4(a-b)
=(a-b)(3c+4)

3.x2+26x+169
=(x+13)2

4.4x2+4xy+y2
=(2x+y)2

5.x2-18x+81
=(x-9)2

1)4p^2-16p+16
=4(p2-4p+4)
=4(p-2)2

2)3ac-3bc+4a-4b
=3c(a-b)+4a(a-b)
=(3c+4a)(a-b)

3)x^2+26x+169
=(x+13)2

4)4x^2+4xy+y^2
=(2x+y)2
5)x^2-18x+81
=(x-9)2

2010-01-02 14:30:59 補充：
第二條打錯,3ac-3bc+4a-4b
=3c(a-b)+4(a-b)
=(3c+4)(a-b)

1.4p^2-16p+16
= 4(p^2-4p+4)
= 4(p-2)^2

2.3ac-3bc+4a-4b
= 3c(a-b)+4(a-b)
=(3c+4)(a-b)

3.x^2+26x+169
= (x+13)^2

4.4x^2+4xy+y^2
= (2x+y)^2

5.x^2-18x+81
= (x+9)^2

以下的數除了第二條外,全部都可以利用方程式的計法,
即a^2+2ab+b^2 = (a+b)^2 或 a^2-2ab+b^2 = (a-b)^2


1.4p2-16p+16 (即用(a-b)^2)

=(2p-4)^2


2.3ac-3bc+4a-4b

=3c(a-b)+4(a-b)

=(a-b)(3c+4)


3.x^2+26x+169 (即用(a+b)^2)

=(x+13)^2


4.4x^2+4xy+y2 (即用(a+b)^2)

=(2x+y)^2


5.x^2-18x+81 (即用(a-b)^2)

=(x-9)^2