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find the product.
-4x(2x² + 3)
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Step1: Apply distributive property
Multiply \(-4x\) with each term inside the parentheses. So, \(-4x \times 2x^2 + (-4x) \times 3\)
Step2: Simplify each term
For the first term: \(-4x \times 2x^2 = -8x^{1 + 2} = -8x^3\) (using the rule \(a^m \times a^n = a^{m + n}\)). For the second term: \(-4x \times 3 = -12x\)
Step3: Combine the terms
Combine the simplified terms to get the final product: \(-8x^3 - 12x\)
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\(-8x^3 - 12x\)