Question

(17m+9n)square -(17m-9
n)square​

Answer 1

Answer:

612mn

Step-by-step explanation:

First take the term (17m+9n)

Squaring it we get

(17m+9n)² = (17m)² + (9n)² + (2) (17m) (9n)

Then take the second term (17m-9n)

Squaring it we get

(17m-9n)² = (17m)² + (9n)² - (2) (17m) (9n)

Now,

(17m+9n)² - (17m-9n)²

= (17m)² + (9n)² + (2) (17m) (9n) -  [(17m)² + (9n)² - (2) (17m) (9n)]

= (17m)² + (9n)² + (2) (17m) (9n) - (17m)² - (9n)² + (2) (17m) (9n)

= (2) (17m) (9n) + (2) (17m) (9n)

= 306mn + 306mn

= 612mn

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