(a+3)(a+3)

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(a+3)(a+3)

Guest Jun 3, 2014

+118723

+5

Best Answer

$$\begin{array}{rll}
(a+3)(a+3)&=&a(a+3)+3(a+3)\\\\
&=&a(a+3)+3(a+3)\\\\
&=&a^2+3a+3a+9\\\\
&=&a^2+6a+9\\\\
\end{array}$$

You should learn to recognise this as a perfect square.

$$(a+b)^2=a^2+2ab+b^2$$

Melody Jun 3, 2014

Melody · Answer 1 · 2014-06-03T11:52:58

$$\begin{array}{rll}
(a+3)(a+3)&=&a(a+3)+3(a+3)\\\\
&=&a(a+3)+3(a+3)\\\\
&=&a^2+3a+3a+9\\\\
&=&a^2+6a+9\\\\
\end{array}$$

You should learn to recognise this as a perfect square.

$$(a+b)^2=a^2+2ab+b^2$$

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