Question

哪位好心人帮我做几道因式分解题

1. x2y2 - 2x2y - 3xy2 2. – 3a2x2 + 3ax2 - 6ax3

3. - 3m2n2 – 3mn2 - 9mn 4. x(x - y) + y(y - x)

5. 9a2 - 4b2 6. (x + a)2 - (x – a)2

7. b2 – 6b + 9 8. m2 – 8mn + 16n2

9 (a + b)2 + 2(a + b) + 1 10 . ax2 - 2axy + ay2

Answer 1

1. x²y² - 2x²y - 3xy²
＝xy(xy-2x-3y)
2. – 3a²x² + 3ax² - 6ax³
=-3ax²(a-1+x)

3. - 3m²n² – 3mn² - 9mn
=-3mn(mn+n+3)
4. x(x - y) + y(y - x)
=x(x-y)-y(x-y)
=(x-y)(x-y)
=(x-y) ²

5. 9a² - 4b²
=(3a-2b)(3a+2b)
6. (x + a) ² - (x – a) ²
=(x+a+x-a)(x+a-x+a)
=4xa
7. b² – 6b + 9
=(b-3) ²
8. m² – 8mn + 16n²
=(m-4n) ²

9 (a + b) ²+ 2(a + b) + 1
=(a+b+1) ²
10 . ax² - 2axy + ay²
=a(x²-2xy+y²)
=a(x-y) ²