Multiply polynomial $- 8 - 6 i$ by $- 8 + 6 i$ .

Answer

$(- 8 - 6 i) \cdot (- 8 + 6 i) = - 36 i^{2} + 64$

Explanation

Step 1: First we have to write polynomials in descending order.

P (x) Q (x) = - 6 i - 8 = 6 i - 8

In this example we are multiplying two binomials so FOIL method can be used.

(- 6 i - 8) \cdot (6 i - 8) = FIRST (- 6 i) \cdot 6 i + OUTER (- 6 i) \cdot (- 8) + INNER (- 8) \cdot 6 i + LAST (- 8) \cdot (- 8) = = - 36 i^{2} + 48 i + (- 48 i) + 64 = = - 36 i^{2} + 48 i + (- 48 i) + 64 = = - 36 i^{2} + 64;

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Multiply polynomial −8−6i by −8+6i.

(−8−6i)⋅(−8+6i)=−36i2+64

Multiply polynomial $- 8 - 6 i$ by $- 8 + 6 i$ .

$(- 8 - 6 i) \cdot (- 8 + 6 i) = - 36 i^{2} + 64$