Question

Simplify 9p²+12pq+4q²

Answer 1

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$\underline{\underline{ \red{ \textbf{ \textsf{ \: SIMPLIFY \: : }}}}} \: \: \: \: \: \bold{9p {}^{2} + 12 pq + 4q {}^{2} }$



$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \: \:SOLUTION \: \: \red{ \mid}}}}}}}}$


$\bold{9p {}^{2} + 12pq + 4q {}^{2} } \\ \\ \bold{ = (3p) {}^{2} + 2 \times 3p \times 2q + (2q) {}^{2} } \\ \\ \bold{ = (3p + 2q) {}^{2} } \\ \\ \bold{ = (3p + 2q)(3p + 2q)}$

Answer 2

$\huge\mathtt{Answer}$

$\underline{\underline{ \red{ \textbf{ \textsf{ \: SIMPLIFY \: : }}}}} \: \: \: \: \: \bold{9p {}^{2} + 12 pq + 4q {}^{2} }$

$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \: \:SOLUTION \: \: \red{ \mid}}}}}}}}$

$\begin{lgathered}\bold{9p {}^{2} + 12pq + 4q {}^{2} } \\ \\ \bold{ = (3p) {}^{2} + 2 \times 3p \times 2q + (2q) {}^{2} } \\ \\ \bold{ = (3p + 2q) {}^{2} } \\ \\ \bold{ = (3p + 2q)(3p + 2q)}\end{lgathered}$