Question

`is (4x+4)/(4) equivalent to (x+4)/(4) ?`

is
`(2)/(a+b) the same as (2)/(a) + (2)/(b) ?`

is (a+b)
`(a+b){2} equivalent to a{2} + b^(2)`

Answer 1

`(4x+4)/(4)\ \text{not equivelent to}\ (x+4)/(4)\\\\(4x+4)/(4)=(4(x+1))/(4)=x+1\\eq(x+4)/(4)\\---------------------------------\\(2)/(a+b)\ \text{not equivelent to}\ (2)/(a)+(2)/(b)\\\\(2)/(a)+(2)/(b)=(2b)/(ab)+(2a)/(ab)=(2b+2a)/(ab)=(2(a+b))/(ab)\\eq(2)/(a+b)\\--------------------------------------\\(a+b)^2 \ \text{not equivelent to}\ a^2+b^2\\\\(a+b)^2=(a+b)(a+b)=a^2+ab+ab+b^2=a^2+2ab+b^2\\eq a^2+b^2`