因式分解 25x^2-50x+25

解答

因式分解

25 x^{2} - 50 x + 25

25 (x - 1)^{2}

求解步骤

25 x^{2} - 50 x + 25

因式分解出通项

25 : 25 (x^{2} - 2 x + 1)

= 25 (x^{2} - 2 x + 1)

因式分解

x^{2} - 2 x + 1 : (x - 1) (x - 1)

= 25 (x - 1) (x - 1)

使用指数法则:

aa = a^{2}

(x - 1) (x - 1) = (x - 1)^{2}

= 25 (x - 1)^{2}

s im pl i f y \frac{cot ^{2} ( x )}{cos ^{2} ( x )}

s im pl i f y 2 x^{3} \times 3 x^{2}

s im pl i f y 4 z^{4}

f a c t or - 5 x^{2} + 10 x

f a c t or x^{4} - 10 x^{2} + 169