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受欢迎的代数 >

因式分解 2(a+b)^2+5(a+b)-3

解答

因式分解

2 (a + b)^{2} + 5 (a + b) - 3

解答

(2 (a + b) - 1) (a + b + 3)

求解步骤

2 (a + b)^{2} + 5 (a + b) - 3

将表达式拆分成组

= (2 (a + b)^{2} - (a + b)) + (6 (a + b) - 3)

从

2 (a + b)^{2} - (a + b)

分解出因式

(a + b)

:

(a + b) (2 (a + b) - 1)

从

6 (a + b) - 3

分解出因式

3

:

3 (2 (a + b) - 1)

= (a + b) (2 (a + b) - 1) + 3 (2 (a + b) - 1)

因式分解出通项

2 (a + b) - 1

= (2 (a + b) - 1) ((a + b) + 3)

整理后得

= (a + b + 3) (2 (a + b) - 1)

流行的例子

- 4 x^{2} + 8 x = 9

7 x^{2} + 63 x = 0

-2/3 (6/5 x-7/10)= 17/20

- \frac{2}{3} (\frac{6}{5} x - \frac{7}{10}) = \frac{17}{20}

化简 (6x^5y^3)^2

s im pl i f y (6 x^{5} y^{3})^{2}

因式分解 5x+20

f a c t or 5 x + 20