John will not get the correct value of expression with his first step.
Step-by-step explanation:
Given
John has to simplify
[tex](5+3)^2[/tex]
And he has written it as
[tex]5^2+3^2[/tex]
He will not get the correct value of the expression by this method.
In mathematics, first of all the brackets have to be solved. The exponent cannot be applied to the content of round bracket unless the expression in the bracket is completely solved and simplified.
So in order to get the correct answer, John should first add 5 and 3 and then apply the exponent.
[tex]= (5+3)^2\\= (8)^2\\=64[/tex]
So,
John will not get the correct value of expression with his first step.
Keywords: Expressions, exponents
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