Test your understanding of the geometric derivation of:
\((a+b)^2=a^2+2ab+b^2\)
Try to answer the questions before checking the answers at the bottom of the page.
Question 1
Which identity is correct?
A) \((a+b)^2=a^2+b^2\)
B) \((a+b)^2=a^2+2ab+b^2\)
C) \((a+b)^2=a^2+ab+b^2\)
Question 2
Expand:
\((x+3)^2\)
A) \(x^2+3x+9\)
B) \(x^2+6x+9\)
C) \(x^2+9x+9\)
Question 3
Evaluate:
\((4+5)^2\)
A) \(81\)
B) \(64\)
C) \(49\)
Question 4
What is the area of a square with side:
\(a+b\)
A) \(a+b\)
B) \((a+b)^2\)
C) \(2(a+b)\)
Question 5
How many rectangles with area ab appear in the geometric derivation?
A) \(1\)
B) \(2\)
C) \(3\)
Answers
1. B) \((a+b)^2=a^2+2ab+b^2\)
2. B) \(x^2+6x+9\)
3. A) \(81\)
4. B) \((a+b)^2\)
5. B) \(2\)
Practice
- Take the Quiz
Continue Learning
- \((a – b)^2\) – Geometric Derivation
- \((a + b)^2\) – Geometric Derivation
- \(a^2 – b^2\) – Geometric Derivation
- \(a^2 – b^2\) – Algebraic Proof