Question

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

Answer 1

Explanation:

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

(2x+1)^2=4x^2+4x+1

(2x^2+2x)^2=4x^4+8x^3+4x^2

4x^2+4x+1+4x^4+8x^3+4x^2=4x^4+8x^3+8x^2+4x+1

(2x^2+2x+1)^2=4x^4+8x^3+8x^2+4x+1

4x^4+8x^3+8x^2+4x+1=4x^4+8x^3+8x^2+4x+1