What is factor 195c^6p^5-91c^5p^6+221c^3p^{10} ?

The solution to factor 195c^6p^5-91c^5p^6+221c^3p^{10} is 13c^3p^5(15c^3-7c^2p+17p^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 195c^6p^5-91c^5p^6+221c^3p^{10}

factor

195 c^{6} p^{5} - 91 c^{5} p^{6} + 221 c^{3} p^{10}

13 c^{3} p^{5} (15 c^{3} - 7 c^{2} p + 17 p^{5})

Solution steps

195 c^{6} p^{5} - 91 c^{5} p^{6} + 221 c^{3} p^{10}

Apply exponent rule:

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

c^{6} p^{5} = c^{3} c^{3} p^{5}, c^{5} p^{6} = c^{3} c^{2} p^{5} p, c^{3} p^{10} = c^{3} p^{5} p^{5}

= 195 c^{3} c^{3} p^{5} - 91 c^{3} c^{2} p^{5} p + 221 c^{3} p^{5} p^{5}

Rewrite

221

17 \cdot 13

Rewrite

- 91

7 \cdot 13

= 15 \cdot 13 c^{3} c^{3} p^{5} + 7 \cdot 13 c^{3} c^{2} p^{5} p + 17 \cdot 13 c^{3} p^{5} p^{5}

Factor out common term

13 c^{3} p^{5}

= 13 c^{3} p^{5} (15 c^{3} - 7 c^{2} p + 17 p^{5})

k^{2} - k - 2 = 0

x^{18} - y^{15}

a = π (8.5)^{2}

- 12 + 7 - 9 \cdot 3

\frac{2 ( x + 1 )}{4} = 3 x - 2

What is factor 195c^6p^5-91c^5p^6+221c^3p^{10} ?
The solution to factor 195c^6p^5-91c^5p^6+221c^3p^{10} is 13c^3p^5(15c^3-7c^2p+17p^5)