In the expansion of (x+a)n, if the sum of odd terms be P and sum of ev

1.	In the expansion of (x+a)n, if the sum of odd terms be P and sum of even terms be Q. Consider the following statements: (i) P2−Q2=(x2−a2)n (ii) P2+Q2=(x2+a2)n (iii) 4PQ = (x+a)2n−(x−a)2n (iv) P - Q = (x−a)n Then the correct statement are:
Answer» In the expansion of $(x + a)^{n}$ , if the sum of odd terms be P and sum of even terms be Q. Consider the following statements: (i) $P^{2} - Q^{2} = (x^{2} - a^{2})^{n}$ (ii) $P^{2} + Q^{2} = (x^{2} + a^{2})^{n}$ (iii) 4PQ = $(x + a)^{2 n} - (x - a)^{2 n}$ (iv) P - Q = $(x - a)^{n}$ Then the correct statement are:

In the expansion of (x+a)n, if the sum of odd terms be P and sum of even terms be Q. Consider the following statements: (i) P2−Q2=(x2−a2)n (ii) P2+Q2=(x2+a2)n (iii) 4PQ = (x+a)2n−(x−a)2n (iv) P - Q = (x−a)n Then the correct statement are:

Answer»

In the expansion of $(x + a)^{n}$ , if the sum of odd terms be P and sum of even terms be Q. Consider the following statements:

(i) $P^{2} - Q^{2} = (x^{2} - a^{2})^{n}$

(ii) $P^{2} + Q^{2} = (x^{2} + a^{2})^{n}$

(iii) 4PQ = $(x + a)^{2 n} - (x - a)^{2 n}$

(iv) P - Q = $(x - a)^{n}$

Then the correct statement are: