Question

solve this.. please....
..will mark brainliest

Answer 1

xy²k = (4xy + 3y)² - (4xy - 3y)²

.

Apply a² - b² = (a + b ) (a - b) :

xy²k = [(4xy + 3y) - (4xy - 3y) ] [(4xy + 3y) + (4xy - 3y) ]

.

Remove brackets (remember to take care of the negative signs):

xy²k = [ 4xy + 3y - 4xy + 3y ] [ 4xy + 3y + 4xy - 3y ]

.

Combine like terms:

xy²k = [ 6y ] [ 8xy ]

.

Multiply RHS:

xy²k = 48xy²

.

Divide both sides by xy²:

k = 48xy² /xy²

.

Answer:

k = 48

Answer 2

xy^2 k = ( 4xy + 3y)^2 - ( 4xy - 3y)^2

Using identity (a^2 - b^2) = (a +b) (a - b), we get

xy^2 k = ( 4xy + 3y - 4xy + 3y)(4xy + 3y + 4xy - 3y)

=> xy^2 k = ( 6y)( 8xy)

=> xy^2 k = 48 xy^2

=> k = 48