How do you factor $s^2+10s+25$ ?

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Answer 1 · 2016-06-02T13:06:55

$(s+5)^2$

Consider the structure: $(s+?)(s+?)$ where the two ? may od may not be different values.

Looking at the given equation we spot that $5xx5=25$ and that $5+5=10$ . So these must be the values given to ?#

This gives

$(s+5)(s+5)$ as both bracket contents are the same we have

$(s+5)^2$

How do you factor s^2+10s+25s^2+10s+25?