Determine whether the following statement is True or False.?

If true please explain, if false please give a counterexample.





(a+b)^2 = a^2+b^2Determine whether the following statement is True or False.?
False


a=2 b=3





2+3^2= 5^2=25 2^2=4 + 3^2=9= 13Determine whether the following statement is True or False.?
It's false





(a+b)^2 = a^2+2ab+b^2





For a counterexample, just have a=b=1





(a+b)^2 = 2^2 = 4





a^2+b^2 = 1+1 = 2
Thought you might like a different approach:





If they are equal then a^2 + b^2 = (a + b)^2 =a^2 + 2ab + b^2


that is, a^2 + b^2 = a^2 + 2ab + b^2


adding -a^2 - b^2 to both sides yields 0 = 2ab which would only hold if both a and b = 0.
False





(a + b)^2 = (a + b)(a + b)


= a^2 + 2ab + b^2 %26lt;--- basic quadratic equation
no, it's (a+b)(a+b)
It's false





(a+b)^2 = (a+b)(a+b)


= a*a + a*b + b*a + b*b


= a^2 + 2ab + b^2