(�ã5 + 5�ã6)(�ã5 - 5�ã6)
is the answer -145 ???
a^2 - b^2 = (a+b)(a-b)
here we have
a = sqrt 5
b = 5 sqrt 6
a^2 = 5
b^2 = 25*6 = 150
5 - 150 = -145
so yes
ty Sir
To simplify the expression (�ã5 + 5�ã6)(�ã5 - 5�ã6), you can use the difference of squares formula, which states that (a+b)(a-b) = a^2 - b^2.
In this case, a = �ã5 and b = 5�ã6. Substituting these values into the formula, we have:
(�ã5 + 5�ã6)(�ã5 - 5�ã6) = (�ã5)^2 - (5�ã6)^2
Simplifying further:
(�ã5)^2 = �ã5 * �ã5 = �ã(5^2) = �ã25 = 5
(5�ã6)^2 = (5 * �ã6) * (5 * �ã6) = (5 * 5) * (�ã6 * �ã6) = 25 * 6 = 150
Now substituting the values back into the expression:
(�ã5 + 5�ã6)(�ã5 - 5�ã6) = (�ã5)^2 - (5�ã6)^2
= 5 - 150
= -145
So, the answer to the expression (�ã5 + 5�ã6)(�ã5 - 5�ã6) is -145, not -145.