expand: : (3a/2+b/4-2c)^2
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Answered by
49
Step-by-step explanation:
(( 3a/2 ) + (b/4 ) - 2c) ²
= ((3a/2) + (b/4 ) + (-2c))²
= (3a/2)² + (b/4)² + (-2c)²
+ 2(3a/2)(b/4) + 2 (b/4) (-2c)
+ 2 (-2c)(3a/2)
= (9a² / 4 ) + (b²/16) + (4c²)
+ (6ab / 8 ) + ( -4bc / 4 )
= (9a² /4 ) + (b² /16 ) + (4c² )
+ (3ab /4) + (-bc)
= (9a² /4 ) + (b² / 16 ) + 4c²
+ (3ab /4 ) - bc
Formula used :-
(a + b + c) ²
= a² + b² + c² + 2ab + 2bc + 2ca
Answered by
10
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