topic badge

2.04 Special products

Interactive practice questions

Complete the proof that $\left(a+b\right)^2=a^2+2ab+b^2$(a+b)2=a2+2ab+b2.

$\left(a+b\right)^2$(a+b)2 $=$= $\left(\editable{}\right)\left(\editable{}\right)$()()
$=$= $a\left(\editable{}\right)+b\left(\editable{}\right)$a()+b()
$=$= $\editable{}+\editable{}+\editable{}+\editable{}$+++
$=$= $\editable{}+\editable{}+\editable{}$++
Easy
2min

Complete the proof that $\left(a-b\right)^2=a^2-2ab+b^2$(ab)2=a22ab+b2.

Easy
1min

$\left(8+6\right)^2=8^2+6^2$(8+6)2=82+62

Easy
1min

Complete the perfect square:

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

A-SSE.1a

Interpret expressions that represent a quantity in terms of its context. a. Interpret parts of an expression, such as terms, factors, and coefficients.

A-APR.1a

Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations. a. Perform operations on polynomial expressions (addition, subtraction, multiplication), and compare the system of polynomials to the system of integers when performing operations.

What is Mathspace

About Mathspace