(a+b)^5 + (a-b)^5 =a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5+a^5-5a^4b+10a^3b^2-10a^2b^3+5ab^4-b^5=2a^5+20a^3b^2+10ab^4.(a+b) ^4 - (a-b)^4=a^4+4a^3b+5a^2b^2+4ab^3+b^4+a^4-4a^3b+5a^2b^2-4ab^3+b^4=2a^4+10a^3b^2+2b^4.