en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 5x^{10}y^5+10x^8y^{15}+25x^{16}*y^{25}

Solution

factor

5 x^{10} \cdot y^{5} + 10 x^{8} \cdot y^{15} + 25 x^{16} \cdot y^{25}

Solution

5 x^{8} y^{5} (x^{2} + 2 y^{10} + 5 x^{8} y^{20})

Solution steps

5 x^{10} y^{5} + 10 x^{8} y^{15} + 25 x^{16} y^{25}

Apply exponent rule:

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

x^{10} y^{5} = x^{8} x^{2} y^{5}, x^{8} y^{15} = x^{8} y^{5} y^{10}, x^{16} y^{25} = x^{8} x^{8} y^{5} y^{20}

= 5 x^{8} x^{2} y^{5} + 10 x^{8} y^{5} y^{10} + 25 x^{8} x^{8} y^{5} y^{20}

Rewrite

25

as

5 \cdot 5

Rewrite

10

as

2 \cdot 5

= 5 x^{8} x^{2} y^{5} + 2 \cdot 5 x^{8} y^{5} y^{2 \cdot 5} + 5 \cdot 5 x^{8} x^{8} y^{5} y^{20}

Factor out common term

5 x^{8} y^{5}

= 5 x^{8} y^{5} (x^{2} + 2 y^{10} + 5 x^{8} y^{20})

Popular Examples

factor 9m^4+14m^2*n^2+25n^4 factor

9 m^{4} + 14 m^{2} \cdot n^{2} + 25 n^{4}

expand (4x+2)(3x+2)expand

(4 x + 2) (3 x + 2)

simplify-sin^2(x)-cos^2(x)+sin(x)simplify

- sin^{2} (x) - cos^{2} (x) + sin (x)

simplify 2/((x-1/x))-((1/x))/((1-1/x))simplify

\frac{2}{( x - \frac{1}{x} )} - \frac{( \frac{1}{x} )}{( 1 - \frac{1}{x} )}

simplify [((27x^7*y^3))/((3x^3*y))]^{1/2}simplify

[\frac{( 27 x ^{7} \cdot y ^{3} )}{( 3 x ^{3} \cdot y )}]^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

What is factor 5x^{10}*y^5+10x^8*y^{15}+25x^{16}*y^{25} ?
The solution to factor 5x^{10}*y^5+10x^8*y^{15}+25x^{16}*y^{25} is 5x^8y^5(x^2+2y^{10}+5x^8y^{20})