Pregunta
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\( 12x^2 - 14x + 4 \)
Solución
Calculate or simplify the expression \( (6x-4)(2x-1) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(6x-4\right)\left(2x-1\right)\)
- step1: Apply the distributive property:
\(6x\times 2x-6x\times 1-4\times 2x-\left(-4\times 1\right)\)
- step2: Multiply the terms:
\(12x^{2}-6x-8x-\left(-4\right)\)
- step3: Remove the parentheses:
\(12x^{2}-6x-8x+4\)
- step4: Subtract the terms:
\(12x^{2}-14x+4\)
The result of multiplying \( (6x-4)(2x-1) \) is \( 12x^2 - 14x + 4 \).
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Mind Expander
To multiply the binomials \( (6x - 4)(2x - 1) \), you can use the distributive property (also known as the FOIL method for binomials). First, multiply the first terms: \( 6x \cdot 2x = 12x^2 \). Next, multiply the outer terms: \( 6x \cdot -1 = -6x \). Then, multiply the inner terms: \( -4 \cdot 2x = -8x \). Finally, multiply the last terms: \( -4 \cdot -1 = 4 \). Now, combine all these results: \( 12x^2 - 6x - 8x + 4 = 12x^2 - 14x + 4 \). So the final answer is \( 12x^2 - 14x + 4 \).
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