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Popular >

factor a^2+10a+25

Solution

factor

a^{2} + 10 a + 25

Solution

(a + 5)^{2}

Solution steps

a^{2} + 10 a + 25

Rewrite in the form of

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

25 = 5^{2}

10 a = 2 a \cdot 5

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

Apply Perfect Square Formula:

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

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

= (a + 5)^{2}

Popular Examples

25 x^{2} + 30 x + 9 = 0

59 (x + \frac{1}{2}) = 53 x

simplify (5k)/(4k^{-6)}simplify

\frac{5 k}{4 k ^{- 6}}

4 ∣ 9 x ∣ + 3 = 19

simplify ((p^2t^7)/(10))^3 simplify

(\frac{p ^{2} t ^{7}}{10})^{3}

Frequently Asked Questions (FAQ)

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