If n be a positive integer and the sums of the odd terms and even terms in the expansion of `(a+x)^n` be `A and B` respectively, prove that, `A^2-B^2=(a^2-x^2)^n`

If n be a positive integer and the sums of the odd terms ans even terms in the expansion of (a+x)^(n) be A and B repectively prove that , A^(2)-B^(2)=(a^(2)-x^(2))^(n)

If n be a positive integer and the sums of the odd terms ans even terms in the expansion of (a+x)^(n) be A and B repectively prove that , 4AB=(a+x)^(2n)-(a-x)^(2n)

If the sum of odd terms and the sum of even terms in the expansion of (x+a)^(n) are p and q respectively then p^(2)-q^2=

If the sum of odd terms and the sum of even terms in the expansion of (x+a)^n are p and q respectively then p^2+q^2=

If the sum of odd terms and the sum of even terms in the expansion of (x+a)^n are p and q respectively then p^2+q^2=

If n is a positive integer then find the number of terms in the expansion of (x+y-2z)^(n)

If n is a positive integer then find the number of terms in the expansion of (x+y-2z)^(n)

If A be the sum of odd terms and B be the sum of even terms in the expansion of (x+a)^(n) , prove that A^(2) -B^(2) = (x^(2) - a^(2)) ^(n)