乘法公式因式分解

乘法公式因式分解

 1. 4x^2 + y^2 – a^2 – b^2 + 4xy + 2ab
2. ( a^2 + b^2 – c^2 – d^2 )^2 – 4( ab + cd )^2
3. x^2y^2 – x^2 – 4y^2 – 2xy + 9
4. 4( 1 – b^2 – ab ) – a^2
5. x^4 + 64

十字交乘因式分解:
1. 4x – 1 + 12x^2
2. bx^2 + 4bx – 21b
3. 10x^3y – 3x^2y^2 -18xy^3
4. (x-4)(x+5) – 42
5. (x+2)^2 + x – 18
6. (x^2-7x+5)^2 – 3x^2 + 21x – 19
7. (a^2 – b^2)x^2 + 4abxy – (a^2 -b^2)y^2
8. 2(a+b)^2 + 5(b^2-a^2) – 12(a-b)^2
9. (x^2+5x+7)(x^2+7x+7)- 3x^2
10. (x+1)(x+2)(x+3)(x+4) -24
11. (x^2 – 5x – 6)(x^2 – 9x -6) + 4x^2
12. x^2y – 5xy +6y -x^2 +4x -4
13. x^2 -8xy +15y^2 +2x -4y -3
14. 2a^2 -2b^2 -c^2 +3ab +3bc -ac

1.求[1- (1/2^2)][1-(1/3^2)][1-(1/4^2)]…[1-(1/100^2)]=?

2.設 x、y、z 為實數,且 x^2 + y^2 + z^2 – 2x – 4y – 6z +14 = 0,求 x + 2y + 3z 之值=?

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