F.3 Maths

2007-12-28 6:38 am
Expand:
1. -0.5(-2y-0.5x)(-0.5x+2y)
2. (x+a)(x-a)(x^2+a^2)

Factorize:
3. ( x^2 / 9 ) - ( y^2 / 25 )

回答 (1)

2007-12-28 6:47 am
✔ 最佳答案
1. -0.5(-2y-0.5x)(-0.5x+2y)
=0.5(2y+0.5x)(2y-0.5x)
=0.5(4y^2-0.25x^2)
=2y^2-0.125x^2

2. (x+a)(x-a)(x^2+a^2)
=(x^2-a^2)(x^2+a^2)
=x^4-a^4

3. ( x^2 / 9 ) - ( y^2 / 25 )
=[(x/3)-(y/5)][(x/3)+(y/5)]
=(1/225)(5x-3y)(5x+3y)
=[(5x-3y)(5x+3y)]/225


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