Question

Let . Find the value of .
Answer:

Answer 1

\(x^2-21x-100=x^2+25x-4x-100=x\left(x+25\right)-4\left(x+25\right)=\left(x-4\right)\left(x+25\right)\)

\(\Rightarrow\left|a-b\right|=25-\left(-4\right)=29\)

Answer 2

\(x^2-21x-100=x^2+25x-4x-100=\left(x^2+25x\right)+\left(-4x-100\right)=x\left(x+25\right)-4\left(x+25\right)=\left(x-4\right)\left(x+25\right)\)

=> |a-b| = 25-(-4)=29