因式分解 16x^2-24x+9

解答

因式分解

16 x^{2} - 24 x + 9

(4 x - 3)^{2}

求解步骤

16 x^{2} - 24 x + 9

改写为形式

a^{2} + 2 ab + b^{2} :

16 x^{2} = (4 x)^{2}

9 = 3^{2}

- 24 x = - 2 \cdot 4 x \cdot 3

= (4 x)^{2} - 2 \cdot 4 x \cdot 3 + 3^{2}

使用完全平方公式:

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

(4 x)^{2} - 2 \cdot 4 x \cdot 3 + 3^{2} = (4 x - 3)^{2}

= (4 x - 3)^{2}

f a c t or 8 x^{2} + 24 x + 18

\frac{1}{2} (3 n - 5) = - \frac{13}{10} (- 2 n - 4)

s im pl i f y 6 + 8

10 v^{2} - 1 v + 9 = 0

2 x - 6 - 2 < 0