因式分解 49x^2+14x+1

解答

因式分解

49 x^{2} + 14 x + 1

(7 x + 1)^{2}

求解步骤

49 x^{2} + 14 x + 1

改写为形式

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

49 x^{2} = (7 x)^{2}

1 = 1^{2}

14 x = 2 \cdot 7 x \cdot 1

= (7 x)^{2} + 2 \cdot 7 x \cdot 1 + 1^{2}

使用完全平方公式:

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

(7 x)^{2} + 2 \cdot 7 x \cdot 1 + 1^{2} = (7 x + 1)^{2}

= (7 x + 1)^{2}

s im pl i f y \frac{217.35}{2702 \cdot 1151.65}

6 (x - 3) = - 2 (x + 17)

28 + 19 y = - 8 + 15 y

s im pl i f y \frac{b - 1}{10} \cdot \frac{5}{1 - b}

22.5 (10 - y) + 27.5 y = 250