Find the product of the following using the identity : (a + b) power 2 = a power 2 + 2 ab + b power 2. c) ( 2 pq + 1) power 2. d) ( 1 /2x + x) power 2.
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Step-by-step explanation:
(a+b)² = a²+2ab+b²
(2pq+1)² = (2pq)² + 2x2pqx1 + 1²
= 4p²q² + 4pq + 1
= 4pq ( pq+1+1)
= 4pq ( pq+2)
( 1 /2X + X)² = (1/2X)² + 2×1/2X×X + X²
= 1/4X² +X²+ X²
= 1/4X² + 2X²
= 9X²/4
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