Multiply and simplify the following complex numbers: (1+2i)*(1-4i) -x +1

Apply distributive property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the complex numbers. (1+2i)*(1-4i) = 1*(1) + 1*(-4i) + 2i*(1) + 2i*(-4i)Perform multiplication for each term: Perform the multiplication for each term. 1*(1) = 1 1*(-4i) = -4i 2i*(1) = 2i 2i*(-4i) = -8i^2 (Remember that i^2 = -1)Substitute i^2 and simplify: Substitute i^2 with -1 and simplify the expression. 1 + (-4i) + 2i + (-8 * -1) = 1 - 4i + 2i + 8Combine like terms: Combine like terms. (1 + 8) + (-4i + 2i) = 9 - 2i

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Multiply and simplify the following complex numbers:

(1+2i)*(1-4i)

-x
+1

Multiply and simplify the following complex numbers: $\newline$ $(1+2 i) \cdot(1-4 i)$

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Grade 8

Multiply numbers written in scientific notation

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Q. Multiply and simplify the following complex numbers:

\newline

(1+2 i) \cdot(1-4 i)

Apply distributive property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the complex numbers. $\newline$ $(1+2i)\cdot(1-4i) = 1\cdot(1) + 1\cdot(-4i) + 2i\cdot(1) + 2i\cdot(-4i)$
Perform multiplication for each term: Perform the multiplication for each term. $\newline$ $1\times(1) = 1$ $\newline$ $1\times(-4i) = -4i$ $\newline$ $2i\times(1) = 2i$ $\newline$ $2i\times(-4i) = -8i^2$ (Remember that $i^2 = -1$ )
Substitute $i^2$ and simplify: Substitute $i^2$ with $-1$ and simplify the expression. $1 + (-4i) + 2i + (-8 \times -1) = 1 - 4i + 2i + 8$
Combine like terms: Combine like terms. $\newline$ $(1 + 8) + (-4i + 2i) = 9 - 2i$