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QuestionMathematics

What is the product of (2x−1)(x+ 4)?
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Answer

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Step 1:
I'll solve this algebraic multiplication problem step by step:

Step 2:
: Identify the two expressions to multiply

- First expression: $$2x - 1
- Second expression: x + 4

Step 3:
: Use the distributive property to multiply each term of the first expression by each term of the second expression

- Multiply $$-1$$ by $$4$$: $$-1 \cdot 4 = -4
- Multiply 2x by 4: 2x \cdot 4 = 8x

Step 4:
: Combine like terms

2x^{2} + 8x - x - 4

Step 5:
: Simplify by combining like terms

2x^{2} + 7x - 4

Final Answer

2x^{2} + 7x - 4