SOLUTION: Find the square. (7p+6q) squared

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Question 112856: Find the square.
(7p+6q) squared
Found 2 solutions by jim_thompson5910, bucky:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Start with the given expression

Expand

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.

Answer by bucky(2189) (Show Source):
You can put this solution on YOUR website!
Given:
.

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To expand this recognize that when you square a quantity you multiply it by itself.
Therefore, multiply by itself. You can write this problem as:
.

.
To do this multiplication, you can first multiply the in the first set of parentheses
by each of the terms in the second set of parentheses. In other words, multiply:
.
and you get .
.
Next multiply the in the first set of parentheses by each of the terms in the second
set of parentheses. In other words, this time multiply:
.
and you get
.
Finally, add the two products and simplify. Adding the two products:
.

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Notice that the two middle terms can be combined, and the resulting polynomial is:
.

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That's the answer to the problem. Hope this helps you to understand how to square a binomial
quantity.
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