What is factor 5a^2b^2+10ab+25a ?

The solution to factor 5a^2b^2+10ab+25a is 5a(ab^2+2b+5)

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factor 5a^2b^2+10ab+25a

factor

5 a^{2} b^{2} + 10 ab + 25 a

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

Solution steps

5 a^{2} b^{2} + 10 ab + 25 a

Apply exponent rule:

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

a^{2} b^{2} = aa

= 5 aa + 10 ab + 25 a

Rewrite

25

5 \cdot 5

Rewrite

10

2 \cdot 5

= 5 aa + 2 \cdot 5 ab + 5 \cdot 5 a

Factor out common term

5 a

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

\frac{3}{5} - \frac{2}{3}

\frac{1}{i} + \frac{4}{i ^{3}}

2 (x + 2)^{2} - 4 = 28

\frac{- 5}{- 2}

\frac{x - 1}{x + 1} < 0

What is factor 5a^2b^2+10ab+25a ?
The solution to factor 5a^2b^2+10ab+25a is 5a(ab^2+2b+5)