How do you multiply $(5+x)^2$ ?

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Answer 1 · 2018-04-03T22:43:57

$x^2+10x+25$

$(x+5)^2$
$(x+5)(x+5)$ ---> expand
$x^2+5x+5x+25$
$x^2+10x+25$

Answer 2 · 2018-04-04T00:41:58

Here is another method in solving the question;

Not that the formula goes like this, for example;

$(x + y)^2 = (x + y) (x + y)$

$(x + y)^2 = x^2 +xy +xy + y^2$

$(x + y)^2 = x^2 + 2xy + y^2$

$(x + y)^2 = x^2 + y^2 + 2xy - - - eqn$

Now having, $(5 + x)^2$

Where; $x = 5, and y = x$

Substituting the values into the equation..

$(5 + x)^2 = 5^2 + x^2 + 2(5)(x)$

$(5 + x)^2 = 25 + x^2 + 10x$

Therefore;

$(5 + x)^2 = x^2 + 10x + 25$

How do you multiply (5+x)^2(5+x)^2?