因式分解 10a^3+4a^2+5a+2

解答

因式分解

10 a^{3} + 4 a^{2} + 5 a + 2

(5 a + 2) (2 a^{2} + 1)

求解步骤

10 a^{3} + 4 a^{2} + 5 a + 2

= (10 a^{3} + 4 a^{2}) + (5 a + 2)

从

10 a^{3} + 4 a^{2}

分解出因式

2 a^{2}

2 a^{2} (5 a + 2)

= 2 a^{2} (5 a + 2) + (5 a + 2)

因式分解出通项

(5 a + 2) : (5 a + 2) (2 a^{2} + 1)

= (5 a + 2) (2 a^{2} + 1)

s im pl i f y (\frac{20 x ^{5} y ^{2}}{5 x ^{- 3} y ^{7}})^{- 3}

s im pl i f y \frac{5 ^{8}}{5 ^{5}}

f a c t or 3 n^{3} + 6 n^{2}

z + (\frac{1}{2} + \frac{1}{2} i) = i

3 x^{2} + 5 x - 10 = 0