因式分解功課...急急

2011-12-17 11:22 pm
因式分解下列各式
a(b+1)+b+1
1-4x^2
x^2+3x-10
3x^2+5x+2
3cd^2-9c^2d
4-9y^2

回答 (2)

2011-12-18 12:01 am
✔ 最佳答案
a(b + 1) + b + 1
= a(b + 1) + 1(b + 1)
= (a + 1)(b + 1)


1 - 4x²
= 1² - (2x)²
= (1 + 2x)(1 - 2x)


x² + 3x - 10
= (x + 5)(x - 2)


3x² + 5x + 2
= (3x + 2)(x + 1)


3cd² - 9c²d
= 3cd(d - 3c)


4 - 9y²
= 2² - (3y)²
= (2 + 3y)(2 - 3y)
參考: micatkie
2011-12-18 2:05 am
a(b+1)+b+1
=a(b+1)+(b+1)
=(b+1)+(a+1)

1-4x^2
=(1-2x)(1+2x)

x^2+3x-10
=(x+5)(x-2)

3x^2+5x+2
=(3x+1)(x+2)

3cd^2-9c^2d
=3cd(d-3c)

4-9y^2
=(2-3y)(2+3y)


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