Question

expand (3(a/2)+b/4-2c)^2

Answer 1

Answer:

$\huge\blue{“•SnowyBabyAngel”•}$

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

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