1. 25x^2 - 144y^2
2. 3a^2 - 27
3. (a+b)^2 - 1
4. x^4 - 64
5. 36r^2 + 60rs + 25s^2
6. 9a^4 - 42a^2 b^2+49b^4
F.2 Maths
2007-10-20 11:54 pm
回答 (2)
2007-10-21 12:08 am
✔ 最佳答案
1.25x^2-144y^2=(5x+12y)(5x-12y)
2.3a^2-27
=3(a^2-9)
=3(a+3)(a-3)
3.(a+b)^2-1
=(a+b+1)(a+b-1)
4.x^4-64
=(X^2+4)(x^-4)
=(x^2+4)(x+2)(x-2)
5.36r^2+60rs+25s^2
=(6r+5s)^2
6.9a^4-42a^2b^2+49b^4
=(3a^2-7b^2)^2
實數範圍:=(√3a+√7b)^2(√3a-√7b)^2
2007-10-21 12:08 am
因式分解？
1 25x²-144y²
=(5x-12y)(5x+12y)
2 3a²-27
=3(a²-9)
=3(a-3)(a+3)
3 (a+b)²-1
=(a+b-1)(a+b+1)
4 x⁴-64
=(x²-8)(x²+8)
=(x-√8)(x+√8)(x²+8)
5 36r²+60rs+25s²
=(6r+5s)²
6 9a⁴-42a²b²+49b⁴
=(3a²-7b²)²
=[(√3 a- √7 b)(√3 a+√7 b)]²
1 25x²-144y²
=(5x-12y)(5x+12y)
2 3a²-27
=3(a²-9)
=3(a-3)(a+3)
3 (a+b)²-1
=(a+b-1)(a+b+1)
4 x⁴-64
=(x²-8)(x²+8)
=(x-√8)(x+√8)(x²+8)
5 36r²+60rs+25s²
=(6r+5s)²
6 9a⁴-42a²b²+49b⁴
=(3a²-7b²)²
=[(√3 a- √7 b)(√3 a+√7 b)]²
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原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20071020000051KK02981