F.2 Maths

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

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