Answer:
Option B, C and D are correct.
\(a^2-36\), \(w^2-121\) and \(n^2-50\)
Step-by-step explanation:
For any real number a and b:
Difference of square is given by:
\(a^2-b^2 = (a-b)(a+b)\)
We have to find Which expressions are differences of squares.
Option A :
\(x^2+25\)
⇒\(x^2+5^2\)
This cannot be written as a difference of square.
Option B:
\(a^2-36\)
⇒\(a^2-6^2\)
⇒\((a-6)(a+6)\)
Option C:
\(w^2-121\)
⇒\(w^2-11^2\)
⇒\((w-11)(w+11)\)
Option D:
\(n^2-50\)
⇒\(n^2-(\sqrt{50})^2\)
⇒\((n-\sqrt{50})(n+\sqrt{50})\)
Therefore, the expressions which are are differences of squares are:
\(a^2-36\), \(w^2-121\) and \(n^2-50\)
