Which polynomial is the product of (x+2) and (x+2)?

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Answer 1 · 2016-12-28T03:07:26

#x^2 + 4x + 4#

A product is the result of multiplication. So, to solve this problem we must multiply #(color(red)(x+2))# by #(color(blue)(x+2))# or

#(color(red)(x+2))(color(blue)(x+2))#

This is done by cross multiplying the terms in the parenthesis on the left by each term in the parenthesis on the right:

#(color(red)(x) * color(blue)(x)) + (color(red)(x) * color(blue)(2)) + (color(red)(2) * color(blue)(x)) + (color(red)(2) * color(blue)(2)) ->#

#x^2 + 2x + 2x + 4#

Now, we can combine like terms to obtain the final polynomial.

#x^2 + (2 + 2)x + 4#

#x^2 + 4x + 4#