[ ( 1 )( 2p + q + 5)^2 = ( 2p)^2 + q^2 + 5^2 + 2( 2p)q + 2( 2p)5 + 2q( 5 ); #160;= 4p^2 + q^2 + 25 + 4pq + 20p + 10q ] ...

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Division of a Polynomial by a Polynomial

Expand 1 2p...

Question

Expand $(1) {(2 p + q + 5)}^{2}$

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Solution

$\begin{matrix} (1) {(2 p + q + 5)}^{2} = {(2 p)}^{2} + q^{2} + 5^{2} + 2 (2 p) q + 2 (2 p) 5 + 2 q (5) = 4 p^{2} + q^{2} + 25 + 4 p q + 20 p + 10 q \end{matrix}$

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