What is factor 25x^7-10x^5+15x^3-5x^2 ?

The solution to factor 25x^7-10x^5+15x^3-5x^2 is 5x^2(5x^5-2x^3+3x-1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 25x^7-10x^5+15x^3-5x^2

factor

25 x^{7} - 10 x^{5} + 15 x^{3} - 5 x^{2}

5 x^{2} (5 x^{5} - 2 x^{3} + 3 x - 1)

Solution steps

25 x^{7} - 10 x^{5} + 15 x^{3} - 5 x^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{3} = x x^{2}

= 25 x^{5} x^{2} - 10 x^{3} x^{2} + 15 x x^{2} - 5 x^{2}

Rewrite

25

5 \cdot 5

Rewrite

10

5 \cdot 2

= 5 \cdot 5 x^{5} x^{2} - 5 \cdot 2 x^{3} x^{2} + 5 \cdot 3 x x^{2} - 5 \cdot 1 \cdot x^{2}

Factor out common term

5 x^{2}

= 5 x^{2} (5 x^{5} - 2 x^{3} + 3 x - 1)

1 \frac{1}{6} c d \cdot (- \frac{6}{7} c^{9} d^{7})

\frac{2}{30}

2 x^{2} - 10 x + 8

(2 - x) (x + 2)

- \frac{1}{3}

What is factor 25x^7-10x^5+15x^3-5x^2 ?
The solution to factor 25x^7-10x^5+15x^3-5x^2 is 5x^2(5x^5-2x^3+3x-1)