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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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 + 15i2
We know that i2 = -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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