The expression (6n - 5)(n+4) is equivalent to:
Correct answer: D. 6n2+ 19n - 20
- A. 6n2-20
- B. 6n2-19n - 20
- C. 6n2 - 29n - 20
- D. 6n2+ 19n - 20
Explanation
Apply Multiplicative Distribution Law: 6n(n+4)-5(n+4) Apply Multiplicative Distribution Law: 6nxn+6n×4-5n-5×4 Multiply the monomials: 6n²+24n-5n-5×4 Calculate the product or quotient: 6n2+24n-5n-20 Reorder and gather like terms: 6n2+(24n-5n)-20 Collect coefficients for the like terms: 6n2+(24-5)×n-20 Calculate the sum or difference: 6n2+19n-20 Check equivalency: True Answer: True
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