3.4 - Algebraic Identities
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Expand $(x + 2)^2$ using the square of a sum identity.
💡 Hint: Use the identity $(a + b)^2 = a^2 + 2ab + b^2$.
Simplify $(a - 5)(a + 5)$ using the difference of squares.
💡 Hint: Remember the formula: $a^2 - b^2 = (a-b)(a+b)$.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of $(a+b)^2$?
💡 Hint: Remember how we expand a squared term.
True or False: The difference of squares can be expressed as $a^2 + b^2$.
💡 Hint: Think of the signs involved in the identity.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Prove algebraically that $x^2 - 9$ can be factored as $(x - 3)(x + 3)$ using the difference of squares identity.
💡 Hint: Identify $a$ and $b$ in the expression.
Expand and simplify $(2x + 3)^3$ and express it in standard polynomial form.
💡 Hint: Use $(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3$.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.