Answer
False.
$(a+b)^2=a^2+2ab+b^2\ne a^2+b^2$
Work Step by Step
$(a+b)^2=a^2+b^2~?$
False.
$(a+b)^2=(a+b)(a+b)=aa+ab+ba+bb=a^2+2ab+b^2\ne a^2+b^2$
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