F.2 Factorization

1. 3a^2 * 2a^2
=6a^4

2.3x * x^2 * y^2 *y^2
=3 x^3 y^4

3.5x * 2x^2 + (-)4x*2x
=10x^3 -8x^2

4.7y^2 * y^2 + 3y * 4y^2 * -2^2 y^2
=7y^4 + 48y^5

5.3 x^2 y^2 - 3^2 x^2 y^2 + 2y^2 x^2 - 2 y^2 x^2
=(3-9+2-2) x^2 y^2
=-6 x^2 y^2

6.3 a^2 b^2 - 3^2 x^2 y^2 + 2y^2 x^2 - 2 y^2 x^2
=3 a^2 b^2 + (-3+2-2) x^2 y^2
=3 a^2 b^2 -3 x^2 y^2

7.3 a^2 b^2 c^2 -3 a^2 b^2 c^2 -3^2 a^2 b^2 c^2 +3 a^2 b^2 c^2 -(-3)^2 a^2 b^2 c^2 + 3 a^2 b^2 c^2
=(3-3-9+3-9+3) a^2 b^2 c^2


*係乘號
^係次方,例如a^2即係a二次方

1. 3a²(2a²)
=3a^2 x 2a^2
=6 a^4

2. 3x(xy)²y²
=3x(x^2 y^2)y^2
=3 x^3 y^4

3.5x(2x²)+(-4x)*(2x)
=10x^3 + (-8)x^2
=2 x^2 (5x - 4)

4. 7y²(y²)+3y(4y²)(-2y)²
=7 y^4 + (12)(y^3)(4 y^2)
=7 y^4 + (48 y^5)
=y^4 (7 + 48y)

5. 3x²y²-(3xy)²+2y²x²-2(yx)²
=3 x^2 y^2 - 9 x^2 y^2 + 2 x^2 y^2 - 2 x^2 y^2
=x^2 y^2 (3-9+2-2)
=x^2 y^2 (-6)
= - 6 (x^2 y^2)

6. 3a²b²-(3xy)²+2y²x²-2(yx)²
=3 a^2 b^2 - 9 x^2 y^2 + 2 x^2 y^2 - 2 x^2 y^2
=3 a^2 b^2 + x^2 y^2 (-9+2-2)
=3 a^2 b^2 - 9 x^2 y^2
=3(a^2 b^2 - 3 x^2 y^2)

7. 3a²b²c²-3a²c²b²-(3cba)²+3(cab)²-(-3bca)²+3b²a²c²
=3 a^2 b^2 c^2 - 3 a^2 b^2 c^2 - 9 a^2 b^2 c^2 + 9 a^2 b^2 c^2
= - (-3bca)²+3b²a²c²
= - (9 a^2 b^2 c^2) + 3 a^2 b^2 c^2
=3 a^2 b^2 c^2 - 9 a^2 b^2 c^2
=3 a^2 b^2 c^2 (1-3)
=6 a^2 b^2 c^2

我教你做幾題，其他你自己試試
1. 6a^4
2.3x^3 y^4

其實只要你記住
y^a X y^b = y^(a+b)
y^a / y^b = y^(a-b)
(y^(a)^b)= y^(a)(b)

2007-02-25 19:18:14 補充：
其實呢d 有好似叫簡化，而唔係 factorization.....