If `4x^(2)+20x+r=(2x+s)^(2)` for all values of x, what is the values of `r-s`?

If x^(2)-2x-15=(x+r)(x+s) for all values of x, what is one possible value of r-s?

If the function r(s) is defined as 2s+3 for all values of s and r(4)=x, what is the value of r(x)?

If r=(6)/(3x+2) and tr=(2)/(3s+2) ,what is the value of t?

Given that S=|sqrt(x^(2)+4x+5)-sqrt(x^(2)+2x+5)| for all real x, then find the maximum value of S^(4)

Given that S=|sqrt(x^(2)+4x+5)-sqrt(x^(2)+2x+5)| for all real x, then find the maximum value of S^(4)

Given that S=|sqrt(x^(2)+4x+5)-sqrt(x^(2)+2x+5)| for all real x, then find the maximum value of S^(4)

If cos4x=a_0+a_1cos^2x+a^2cos^4x is true for all values of x in R , then the value of 5a_0+a_1+a_2 is_______

If cos4x=a_0+a_1cos^2x+a^2cos^4x is true for all values of x in R , then the value of 5a_0+a_1+a_2 is_______

If cos4x=a_0+a_1cos^2x+a^2cos^4x is true for all values of x in R , then the value of 5a_0+a_1+a_2 is_______