SOLUTION: Find each of the following squares. (7p + 6q)^2

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Start with the given expression


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Now let's foil the expression



Remember, when you FOIL an expression, you follow this procedure:


Multiply the First terms:


Multiply the Outer terms:


Multiply the Inner terms:


Multiply the Last terms:


Now collect every term to make a single expression



Now combine like terms





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Answer:
So foils and simplifies to

In other words,

Notice how factors back to the original expression (if you need help with factoring, check out this solver). So this verifies our answer.