Multiply the following and simplify.
$(5-i)\left(12\right)$

• A. $60+12i$
• B. $60-12i$
• C. $5-12i$
• D. $60i-12$

Answer: (B)

Verified step by step guidance

1. Identify the expression to multiply: \(\left(5 - i\right) \times 12\).
2. Apply the distributive property (also known as the distributive law of multiplication over addition/subtraction) to multiply each term inside the parentheses by 12: \$12 \times 5\( and \)12 \times (-i)$.
3. Calculate each multiplication separately: \$12 \times 5 = 60\( and \)12 \times (-i) = -12i$.
4. Combine the results to write the product as a single expression: \$60 - 12i$.
5. Since there are no like terms to combine further, the expression \$60 - 12i$ is the simplified product.