(5+7i)(2+i)+(1+3i)

asked by guest
on Apr 13, 2025 at 1:23 pm



You asked:

Evaluate the expression: (5+7i)(2+i)+1+3i\left(5 + 7 i\right) \left(2 + i\right) + 1 + 3 i

MathBot Answer:

Evaluated



(5+7i)(2+i)+1+3i=1+3i+(2+i)(5+7i)\displaystyle \left(5 + 7 i\right) \left(2 + i\right) + 1 + 3 i = 1 + 3 i + \left(2 + i\right) \left(5 + 7 i\right)

Expanded

(5+7i)(2+i)+1+3i=4+22i\left(5 + 7 i\right) \left(2 + i\right) + 1 + 3 i = 4 + 22 i

Factored

(5+7i)(2+i)+1+3i=4+22i\left(5 + 7 i\right) \left(2 + i\right) + 1 + 3 i = 4 + 22 i

ii is the imaginary unit, defined as i2=−1i^2 = -1.

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