We know that (a+b)^2=a^2+b^2+2abHere a=x, b=5So, (x+5)^2 =x^2+5^2+2(x)(5) =x^2+25+10x0ex0ex=x^2+10x+25Hence, the expanded form of (x+5)^2 ...

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Formation of a Differential Equation from a General Solution

Simplify: x+5...

Question

Simplify: ${(x + 5)}^{2}$

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Solution

We know that ${(a + b)}^{2} = a^{2} + b^{2} + 2 a b$
Here $a = x, b = 5$
So, ${(x + 5)}^{2}$ $= x^{2} + 5^{2} + 2 (x) (5)$
$= x^{2} + 25 + 10 x = x^{2} + 10 x + 25$
Hence, the expanded form of ${(x + 5)}^{2}$ is $x^{2} + 10 x + 25$ .

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