Question

4(5x – 3y) (x – 4y) – (3x – 4y) (2x +3y)

Answer 1

ANSWER:

$14 {x}^{2} - 93xy + 60 {y}^{2}$

EXPLANATION:

$4(5x - 3y)(x - 4y) - (3x - 4y)(2x + 3y)$

$= 4( \: 5x(x - 4y) - 3y(x - 4y) \: ) - ( \: 3x(2x + 3y) - 4y(2x + 3y) \: )$

$= 4(5 {x}^{2} - 20xy - 3xy + 12 {y}^{2} ) - (6 {x}^{2} + 9xy - 8xy - 12 {y}^{2} )$

$= 4(5 {x}^{2} - 23xy + 12 {y}^{2} ) - (6 {x}^{2} + xy - 12 {y}^{2} )$

$= (20 {x}^{2} - 92xy + 48 {y}^{2} ) - (6 {x}^{2} + xy - 12 {y}^{2} )$

$= 20 {x}^{2} - 92xy + 48 {y}^{2} - 6 {x}^{2} - xy + 12 {y}^{2}$

$= 20 {x}^{2} - 6 {x}^{2} - 92xy - xy + 48 {y}^{2} + 12 {y}^{2}$

$= 14 {x}^{2} - 93xy + 60 {y}^{2}$

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