Multiply polynomial $16 a + 2 a + 8$ by $27 a + 14 a + 5 a + 9$ .

Answer

$(16 a + 2 a + 8) \cdot (27 a + 14 a + 5 a + 9) = 828 a^{2} + 530 a + 72$

Explanation

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

P (x) Q (x) = 18 a + 8 = 46 a + 9

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

(18 a + 8) \cdot (46 a + 9) = FIRST 18 a \cdot 46 a + OUTER 18 a \cdot 9 + INNER 8 \cdot 46 a + LAST 8 \cdot 9 = = 828 a^{2} + 162 a + 368 a + 72 = = 828 a^{2} + 162 a + 368 a + 72 = = 828 a^{2} + 530 a + 72;

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Multiply polynomial 16a+2a+8 by 27a+14a+5a+9.

(16a+2a+8)⋅(27a+14a+5a+9)=828a2+530a+72

Multiply polynomial $16 a + 2 a + 8$ by $27 a + 14 a + 5 a + 9$ .

$(16 a + 2 a + 8) \cdot (27 a + 14 a + 5 a + 9) = 828 a^{2} + 530 a + 72$