Question

What is the value of $(a+b)(a–b)?$

• A. a² + b² – 2ab
• B. a² + b² + 2ab
• C. a² + b²
• D. a² – b²

Answer 1

The correct option is D

a² – b²

We know from the algebraic identities that $(a+b)(a–b)$ would give $a^2-b^2$. This can also be seen by expanding the given expression, $(a+b)(a–b)=a^2-ab+ab-b^2$ which is nothing but $a^2-b^2$