Expand and Simplify (2x+3)(x−4)

Question

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To expand and simplify the expression (2x+3)(x−4), we will use the distributive property (often remembered as FOIL: First, Outer, Inner, Last). Step 1: Multiply the First terms. (2x)(x) = 2x² Step 2: Multiply the Outer terms. (2x)(−4) = −8x Step 3: Multiply the Inner terms. (3)(x) = 3x Step 4: Multiply the Last terms. (3)(−4) = −12 Step 5: Combine all the terms from Steps 1-4. 2x² − 8x + 3x − 12 Step 6: Simplify the expression by combining the like terms (the x terms). 2x² + (−8x + 3x) − 12 2x² − 5x − 12 The expanded and simplified expression is 2x² − 5x − 12.

Expand and Simplify (2x+3)(x-4)

Answer

Step-by-step solution

Multiply the First terms.

Multiply the Outer terms.

Multiply the Inner terms.

Multiply the Last terms.

Combine all the terms from Steps 1-4.

Simplify the expression by combining the like terms (the $x$ terms).

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