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What is the correct simplification of \(7x^2(6x + 3x^2 - 4)\)?

A. \(21x^4 - 42x^3 + 28x^2\)

B. \(42x^4 + 21x^3 - 3x^2\)

C. \(21x^4 + 42x^3 - 28x^2\)

D. \(42x^4 - 13x^3 + 11x^2\)

Answer :

[tex]\text{Simplify:}\\\\7x^2(6x + 3x^2- 4)\\\\\text{Use the distributive property:}\\\\42x^3+21x^4-28x^2\\\\\text{You can arrange them by exponent}\\\\21x^4+42x^3-28x^2\\\\\text{This means that your answer will be C).} 21x^4 + 42x^3 - 28x^2\\\\\boxed{\text{C).}\,\,21x^4 + 42x^3 - 28x^2}[/tex]

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