Question

Find the value of k if

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

Key
^=square

I want full answer

Answer 1

Answer:

Find the value of k if :xy^2 k=(4xy+3y)^2 - (4xy-3y)^2xy

2

k=(4xy+3y)

2

−(4xy−3y)

2

Solution:

By formula, (a + b)^2 - (a - b)^2 = 4 ab(a+b)

2

−(a−b)

2

=4ab

Substitute the above formula in the given expression,

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

2

k=(4xy+3y)

2

−(4xy−3y)

2

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

2

k=4(4xy)(3y)

k = 48