Find your Math Personality!

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# Write your answer as a complex number in standard form (-6 + 5i) (-2 + 3i).

**Solution:**

We will multiply the complex numbers (-6 + 5i) (-2 + 3i) to find the answer.

We will express the product (-6 + 5i) (-2 + 3i) in the form a + ib, where a and b are real numbers.

Use distributive property to multiply.

(-6 + 5i) (-2 + 3i) = -6 × (-2 + 3i) + 5i × (-2 + 3i)

= 12 - 18i - 10i + 15i^{2}

We know that i^{2} = -1

⇒ (-6 + 5i) (-2 + 3i) = 12 - 15 - i(18 + 10)

= -3 - 28 i

Therefore, the product (-6 + 5i) (-2 + 3i) is equal to -3 - 28i

## Write your answer as a complex number in standard form (-6 + 5i) (-2 + 3i).

**Summary:**

(-6 + 5i) (-2 + 3i) as a complex number in standard form is -3 - 28i.

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