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Lesson eLearning

Expand and simplify $(2 x + 5) (x - 3)$

easy 2 marks Class 8 · Mathematics · Algebraic Expressions and Identities

Answer

2x^2 - x - 15

The correct answer is 2x^2 - x - 15 — This is the fully simplified form.

Step-by-step solution

Distribute $2 x$ across $(x - 3)$ to get $2 x^{2} - 6 x$ .
Distribute $5$ across $(x - 3)$ to get $5 x - 15$ .
Add the like terms $- 6 x$ and $5 x$ to get $- x$ .
Combine all terms to obtain $2 x^{2} - x - 15$ .
This is the fully simplified form.

Common mistake: Forgetting to combine like terms or mis‑applying signs

Concept tested: Expanding binomials

Published 10 October 2026 · How this solution was prepared and checked

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