多項式分解為因式,(中三)10點

1) -144+c²d²
c²d²-12²
(cd)²-12²
(cd + 12 ) (cd – 12)
2) 169-(m+7n)²
13²- (m+7n)²
(13 + m + 7n) (13 –m – 7n)
3) 6-54u²
6(1-9u²)
6 [(1² - (3u)²
6(1+3u)(1 - 3u)
4) k⁴- 81
(k²)² - 9²
(k² + 9)(k² - 9)
(k² + 9)(k² - 3²)
(k² + 9) (k + 3) ) (k - 3)
5) 49a²-64
(7a)² - 8²
(7a + 8) (7a – 8)
6) 100-y²
(10 + y) (10 – y)
7) 12m²+12m+3
3 (4m²+4m+1)
3 (2m +1)²
8) 3x²-18xy+27y²
3(x²-6xy+9y²)
3 (x +3y)²
9) 36a²+120ab+100b²
4(9a²+30ab + 25b²)
4(3a +5b²
10) 16(p-5)²+8(p-5)+1
[4(p-5)+1]²
[4p -20+1]²
[4p -19]²
11) w⁴+18w²x² +81x⁴
(w²)² +18w²x² +(9x²)²
(w² + 9x²)²
12) 4(x-y)² -4z(x-y)+z²
[2(x-y) –z]²
[2x- 2y –z]²
13) m⁴-18m² +81
(m²)² -18m² +81
[m² - 9]²
[(m +3) (m – 3)]²
14) 16p⁴- 8p²q²+q⁴
(4p²)² - 8p²q²+(q²)²
(4p² - q²)²
[(2p)² - q²]²
[(2p + q) (2p – q)]²