因式分解 49x^3+14x^2+x

解答

因式分解

49 x^{3} + 14 x^{2} + x

x (7 x + 1)^{2}

求解步骤

49 x^{3} + 14 x^{2} + x

因式分解出通项

x : x (49 x^{2} + 14 x + 1)

= x (49 x^{2} + 14 x + 1)

因式分解

49 x^{2} + 14 x + 1 : (7 x + 1) (7 x + 1)

= x (7 x + 1) (7 x + 1)

使用指数法则:

aa = a^{2}

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

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

so l v e f or x, 1.1 x + 1.2 x - 5.4 = - 10

l o g f or m 3^{2} = 9

s im pl i f y 1500 x^{6%}

s im pl i f y \frac{45}{51}

so l v e f or x, 6^{x} = 13