Squaring Binomials and Distributing

The video tutorial explains how to correctly square a binomial expression, specifically 7x plus 10 squared. It highlights common mistakes, such as incorrectly squaring each term separately, and emphasizes the correct method using the distributive property. The tutorial walks through the multiplication process step-by-step, resulting in the simplified expression 49x squared plus 140x plus 100. It also provides a quick method for squaring binomials by squaring the first term, doubling the product of the two terms, and squaring the last term.

What is a common mistake when simplifying (7x + 10)^2?

• Assuming it equals 7x^2 + 10^2

• Multiplying 7x by 10

• Adding 7x and 10

• Dividing 7x by 10

What is the correct initial step to expand (7x + 10)^2?

• Multiply 7x by 10

• Add 7x and 10

• Divide 7x by 10

• Multiply (7x + 10) by itself

Which of the following represents the first step in distributing (7x + 10) across (7x + 10)?

• 7x + 10 times 7x

• 7x + 10 times 10

• 7x times 10

• 10 times 10

What is the result of multiplying 7x by 7x?

• 14x

• 49x^2

• 70x

• 7x^2

What is the result of multiplying 10 by 10?

• 20

• 50

• 100

• 10

What is the sum of the middle terms when expanding (7x + 10)^2?

• 100

• 49x^2

• 140x

• 70x

What is the final simplified form of (7x + 10)^2?

• 49x^2 + 140x + 100

• 49x^2 + 70x + 100

• 70x + 100

• 49x^2 + 100

What is the quick method for squaring a binomial like (7x + 10)?

• First term squared plus second term squared

• First term squared plus twice the product of both terms plus second term squared

• Twice the first term plus second term

• First term plus second term squared

What is the product of 7x and 10 in the quick method?

• 140x

• 100

• 70x

• 49x^2

What is the square of the second term in (7x + 10)^2?

• 100

• 50

• 20

• 10