Multiply polynomial $5 - 9 v$ by $5 + 9 v$ .

Answer

$(5 - 9 v) \cdot (5 + 9 v) = - 81 v^{2} + 25$

Explanation

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

P (x) Q (x) = - 9 v + 5 = 9 v + 5

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

(- 9 v + 5) \cdot (9 v + 5) = FIRST (- 9 v) \cdot 9 v + OUTER (- 9 v) \cdot 5 + INNER 5 \cdot 9 v + LAST 5 \cdot 5 = = - 81 v^{2} + (- 45 v) + 45 v + 25 = = - 81 v^{2} + (- 45 v) + 45 v + 25 = = - 81 v^{2} + 25;

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Multiply polynomial 5−9v by 5+9v.

(5−9v)⋅(5+9v)=−81v2+25

Multiply polynomial $5 - 9 v$ by $5 + 9 v$ .

$(5 - 9 v) \cdot (5 + 9 v) = - 81 v^{2} + 25$