Simplify (7-i)(4+2i)

Problem

(7−i)*(4+2*i)

Solution

1. Apply the FOIL method to multiply the two binomials by distributing each term in the first factor to each term in the second factor.

7*(4)+7*(2*i)−i(4)−i*(2*i)

2. Multiply the terms to find the individual products.

28+14*i−4*i−2*i2

3. Substitute the identity i2=−1 into the expression.

28+14*i−4*i−2*(−1)

4. Simplify the constants by performing the multiplication.

28+14*i−4*i+2

5. Combine like terms by adding the real parts together and the imaginary parts together.

(28+2)+(14*i−4*i)

30+10*i

Final Answer

(7−i)*(4+2*i)=30+10*i

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