Question

The expression 4 pq which is expressed as the difference of the squares of two expressions is​

Answer 1

Step-by-step explanation:

Here the given expression is 4pq

Now we express it as the difference of the squares of two expressions as below

\sf 4pq4pq

\sf = 2pq - ( - 2pq)=2pq−(−2pq)

\sf =( {p}^{2} + {q}^{2} + 2pq )- ({p}^{2} + {q}^{2} - 2pq)=(p2+q2+2pq)−(p2+q2−2pq)

\sf =( {p}^{2} + 2pq + {q}^{2} )- ({p}^{2} - 2pq+ {q}^{2})=(p2+2pq+q2)−(p2−2pq+q2)

\sf =( {p}^{2} + 2.p.q + {q}^{2} )- ({p}^{2} - 2.p.q+ {q}^{2})=(p2+2.p.q+q2)−(p2−2.p.q+q2)

\sf ={(p + q)}^{2} - {(p - q)}^{2}=(p+q)2−(p−q)2

FINAL ANSWER

\sf 4pq={(p + q)}^{2} - {(p - q)}^{2}4pq=(p+q)2−(p−q)2