Answer :
In the given expression
1st and last terms are perfect square
⇒ a2 = a × a
⇒ 25 = 5 × 5
And the middle expression is in form of 2ab
10a = 2 × 5 × a
∴ a × a + 2 × 5 × a + 5 × 5
Gives (a + b)2 = a2 + 2ab + b2
⇒ In a2 + 10a + 25
a = a and b = 5;
∴ a2 + 10a + 25 = (a + 5)2
Hence the factors of a2 + 10a + 25 are (a + 5) and (a + 5)
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