Understanding the Product of Sums

This video tutorial explains how to solve notable products by identifying the first and second terms, squaring the first term, multiplying it by two times the second term, and then adding the square of the second term. The example provided results in the expression x^2 + 6x + 9. The tutorial aims to ensure that viewers understand and remember the process of solving such expressions.

What is the first step in solving the product of sums?

• Divide the terms

• Add the terms

• Square the first term

• Multiply the terms together

How many times should you multiply the first term by the second term?

• Four times

• Twice

• Once

• Three times

What do you do after squaring the first term and multiplying the terms together?

• Add the first term

• Divide by the first term

• Square the second term

• Subtract the second term

What is the result of squaring 3 in the example problem?

• 6

• 9

• 12

• 15

What is the final result of the example problem?

• x^2 + 3x + 6

• x^2 + 6x + 9

• x^2 + 9x + 6

• x^2 + 6x + 3