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Question

$$7^{2}+1^{2}=...................................$$
$$(7+1)^{2}=...................................$$
What should be added to $$7^{2}+1^{2}$$ to got $$(7+1)^2?$$


Solution

$$7^2+1^2=49+1=50$$
$$(7+1)^2=8^2=64$$

Hence, $$14$$ should be added into $$7^2+1^2$$ to get $$(7+1)^2.$$

Mathematics

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