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

we're asked to multiply the following and simplify. So we have five minuteus I times 12. We want to go ahead and distribute this 12 into our parentheses, multiplying it by both five and by negative I. So 12 times five will give us 60. And then 12 times negative I will give us minus 12i. And this is our solution.

9. Roots, Radicals, and Complex Numbers

Multiplying and Dividing Complex Numbers

Intermediate Algebra

9. Roots, Radicals, and Complex Numbers

Multiplying and Dividing Complex Numbers

Struggling with Intermediate Algebra?

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Multiple Choice

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

$60+12i$

$60-12i$

$5-12i$

$60i-12$

Verified step by step guidance

Identify the expression to multiply: $\left(5 - i\right) \times 12$.

Apply the distributive property (also known as the distributive law of multiplication over addition/subtraction) to multiply each term inside the parentheses by 12: \$5 \times 12$ and $-i \times 12$.

Write the multiplication results as \$60$ and $-12i$ respectively, so the expression becomes $60 - 12i$.

Since there are no like terms to combine further, the expression \$60 - 12i$ is already simplified.

Review the result to ensure the sign and terms are correct, confirming the simplified product is \$60 - 12i$.

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Struggling with Intermediate Algebra?

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

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