Question:
Expand the expression \( (2x - 3)(x + 4) \).
Expand the expression \( (2x - 3)(x + 4) \).
Show Hint
Apply the distributive property (FOIL) to multiply binomials: multiply first, outer, inner, and last terms and then combine like terms.
Updated On: Oct 4, 2025
- \( 2x^2 + 8x - 3 \)
- \( 2x^2 + 5x - 12 \)
- \( 2x^2 - 5x - 12 \)
- \( 2x^2 + 12x - 3 \)
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Apply the distributive property (also known as FOIL for binomials) to multiply each term in the first binomial by each term in the second binomial:
\[
(2x - 3)(x + 4) = 2x \cdot x + 2x \cdot 4 - 3 \cdot x - 3 \cdot 4.
\]
Calculate each product:
\[
= 2x^2 + 8x - 3x - 12.
\]
Combine like terms:
\[
= 2x^2 + (8x - 3x) - 12 = 2x^2 + 5x - 12.
\]
Was this answer helpful?
0
0
Top GRE Quantitative Aptitude Questions
One pen costs \(\$\)0.25 and one marker costs \(\$\)0.35. At those prices, what is the total cost of 18 pens and 100 markers?
- Working alone at its constant rate, machine A produces kkk liters of a chemical in 10 minutes. Working alone at its constant rate, machine B produces kkk liters of the chemical in 15 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce kkk liters of the chemical?
- If the dollar amount of sales at Store P was $800,000 for 2006, what was the dollar amount of sales at that store for 2008?
- At Store T, the dollar amount of sales for 2007 was what percent of the dollar amount of sales for 2008? Give your answer to the nearest 0.1%.
- If the ratio of A to B is 3:4 and the ratio of B to C is 5:6, what is the ratio of A to C?
View More Questions
Top GRE Algebra Questions
- Simplify: \( 3(2x-3) - 5x \)).
- What is the value of \( \frac{2x+1}{x-1} \) when x=2?
- What is the solution to the equation \( x^2 - 5x + 6 = 0 \)?
- Solve for ( x ): ( 3x + 7 = 16 ).
- What is the solution to the equation \( (x^2 - 4x - 5 = 0) \)?
View More Questions
Top GRE Questions
One pen costs \(\$\)0.25 and one marker costs \(\$\)0.35. At those prices, what is the total cost of 18 pens and 100 markers?
- Working alone at its constant rate, machine A produces kkk liters of a chemical in 10 minutes. Working alone at its constant rate, machine B produces kkk liters of the chemical in 15 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce kkk liters of the chemical?
- If the dollar amount of sales at Store P was $800,000 for 2006, what was the dollar amount of sales at that store for 2008?
- At Store T, the dollar amount of sales for 2007 was what percent of the dollar amount of sales for 2008? Give your answer to the nearest 0.1%.
- If the ratio of A to B is 3:4 and the ratio of B to C is 5:6, what is the ratio of A to C?
View More Questions