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dmitriy555 [2]
2 years ago
13

What is the product of a+3 and −2a2+15a+6b2?

Mathematics
2 answers:
Arte-miy333 [17]2 years ago
8 0

Answer:

<h3>            -2a³ + 9a² + 6ab² + 45a + 18b² </h3>

Step-by-step explanation:

(a + 3)×(−2a² + 15a + 6b²) =

= a×(−2a² + 15a + 6b²) + 3×(−2a² + 15a + 6b²) =

= -2a³ + <u>15a²</u> + 6ab² - <u>6a²</u> + 45a + 18b² =

= -2a³ + 9a² + 6ab² + 45a + 18b²

disa [49]2 years ago
5 0

Answer:

C on edg

Step-by-step explanation

Edg. 2021

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Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

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The easiest way to approach this is to convert all the numbers to base 10.

5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0

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Next, we factorize the resulting expression.

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The positive value of b for which the equality hold is 7.

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