What is factor 25+10m+m^2 ?

The solution to factor 25+10m+m^2 is (m+5)^2

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factor 25+10m+m^2

factor

25 + 10 m + m^{2}

(m + 5)^{2}

Solution steps

25 + 10 m + m^{2}

Write in the standard form

= m^{2} + 10 m + 25

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

25 = 5^{2}

10 m = 2 m \cdot 5

= m^{2} + 2 m \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

m^{2} + 2 m \cdot 5 + 5^{2} = (m + 5)^{2}

= (m + 5)^{2}

3^{- \frac{1}{3}}

k^{2} - 1

∣ - 2 v - 4 ∣ < 8

\frac{30}{27}

\frac{4 a ^{2} - 36}{24 - 8 a}