Question

In right angled triangle if two legs are 2x+1 & 2x^2 + 2x, then hypotenuse is?​

Answer 1

Answer:

By Pythagoras theorem:

(2x+1)^2 + (2x^2 +2x)^2 = (2x^2 +2x +1)^2

So, Hypotenuse is (2x^2 +2x +1).

⚡Hope it will help you.⚡

Answer 2

${( {2x}^{2} + 2x )}^{2} + {(2x + 1)}^{2} \\ {4x}^{4} + {4x}^{2} + {8x}^{3} + {4x}^{2} + 4x + 1 \\ { \red{ \boxed{ {4x}^{4} + {8x}^{3} + {8x}^{2} + 4x + 1}}}$