Problem

Simplify the expression \(4x(3x - 7) + 2(5x - 3)\) using the distributive property.

Answer

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Answer

Combine the two parts: \(12x^2 - 28x + 10x - 6 = 12x^2 - 18x - 6\)

Steps

Step 1 ：Apply the distributive property for the first part of the expression: \(4x \times 3x - 4x \times 7 = 12x^2 - 28x\)

Step 2 ：Apply the distributive property for the second part of the expression: \(2 \times 5x - 2 \times 3 = 10x - 6\)

Step 3 ：Combine the two parts: \(12x^2 - 28x + 10x - 6 = 12x^2 - 18x - 6\)

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