KnowledgeBoat Logo
|

Mathematics

Simplify:

3x[4x3x5y3{2x(3x2x3y)}]3x - [4x - \overline{3x - 5y} - 3{2x - (3x - \overline{2x - 3y})}]

Algebraic Expressions

2 Likes

Answer

3x[4x3x5y3{2x(3x2x3y)}]3x - [4x - \overline{3x - 5y} - 3{2x - (3x - \overline{2x - 3y})}]

= 3x[4x3x5y3{2x(3x2x+3y)}]3x - [4x - \overline{3x - 5y} - 3{2x - (3x - 2x + 3y)}]

= 3x[4x3x5y3{2x(x+3y)}]3x - [4x - \overline{3x - 5y} - 3{2x - (x + 3y)}]

= 3x[4x3x5y3{2xx3y}]3x - [4x - \overline{3x - 5y} - 3{2x - x - 3y}]

= 3x[4x3x5y3{x3y}]3x - [4x - \overline{3x - 5y} - 3{x - 3y}]

= 3x[4x3x5y3x+9y]3x - [4x - \overline{3x - 5y} - 3x + 9y]

= 3x[4x3x+5y3x+9y]3x - [4x - 3x + 5y - 3x + 9y]

= 3x[(4x3x3x)+(5y+9y)]3x - [(4x - 3x - 3x) + (5y + 9y)]

= 3x[2x+14y]3x - [-2x + 14y]

= 3x+2x14y3x + 2x - 14y

= 5x14y5x - 14y

Hence, 3x[4x3x5y3{2x(3x2x3y)}]=5x14y3x - [4x - \overline{3x - 5y} - 3{2x - (3x - \overline{2x - 3y})}] = 5x - 14y

Answered By

2 Likes


Related Questions