Alaina was asked whether the following equation is an identity: ( 2 x + 1 ) 2 − ( x + 1 ) 2 = 3 ( x + 1 ) 2 − 1 (2x+1) 2 −(x+1) 2 =3(x+1) 2 −1

Ithink the answer will be 5

1.   an exact solution requires a radical solution - no decimal approximation.2. (a)4x^3 = 756x^3 = 756/4 = 189x =   cube root of 189 =   5.74   to nearest hundredth answer(b)   189 = 3*3*3*7   so we can write the cube root of 189 as 3∛7 answerchecking (a) 4*(5.74^3 =   756.48   which is very close(b)   4* ((3∛3)^3   = 4*189   = 756   - spot on! 3. i would use solution b because the original question asked for an exact solution.