How do you factor the expression c^2 + 4c + 4?

1 Answer
Alan P.
Dec 24, 2015

c^2+4x+4=color(green)((c+2)(c+2))

Explanation:

Since (c+m)(c+n)=c^2+(m+n)c+mn

we are looking for factors (m and n) of 4 which add up to 4

Factors of 4
color(white)("XXX")1xx4 but 1+4!=4
color(white)("XXX")2xx2 and 2xx2=4 Hooray! we've found our pair.

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