Question

The value of [(5/6)x – (6/5)y ] × [(5/6)x + (6/5)y] is

Answer 1

consider 5/6 as "a" and 6/5 as "b"

now the above equation can be written as (ax-by) (ax+by)

now consider ax as "A" and by as "B"

so it will be the identity (A-B)(A+B) =A²-B²

sub the values of A and B

a²x²-b²y² now sub the values of a and b

(5/6) ² x²-(6/5) ²y²

= (25/36)x² - (36/25)y²

Answer 2

Question ⤵

The value of [(5/6)x – (6/5)y ] × [(5/6)x + (6/5)y] is

Solution ⤵

Step first ⤵

$Use \: \: ( a - b) ( a + b) = a {}^{2} - b {}^{2}$

$= ( \frac{5}{6} x) {}^{2} - ( \frac{6}{5} \: y) {}^{2} \: \\ \\ = > \frac{25}{36} \: x {}^{2} \: - \: \frac{36}{25} \: y {}^{2} \: .. Ans$

I hope it's help you ❤