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3 years ago

Find the product. (x + 9)(4x2 + 5x + 6)

Mathematics

2 answers:

CaHeK987 [17]3 years ago

8 0

Answer:

4x^3 + 41x^2 +51x + 54

Step-by-step explanation:

This is a polynomial distribution

(x + 9 )(4x^2 + 5x + 6) We start by multiplying every term with x

4x^3 + 5x^2 + 6x there is plus sign between (x+9) so we put plus and start multiplying every term by 9

4x^3 + 5x^2 + 6x + 36x^2 + 45x + 54

4x^3 + 41x^2 +51x + 54

amid [387]3 years ago

4 0

The answer is 5x2 + 59x + 126

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What is the third term in the binomial expansion of (3x y3)4? 54x2y3 18x2y3 18x2y6 54x2y6.

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From the simplified form of the expression, the third term on expansion is $54x^2y^6$

Given the expression $(3x + y^3)^4$

For binomial expansion, the power of 3x will be decreasing while y^3 will be increasing.

On expansion, the resulting expression will be:

$=(3x + y^3)^4\\=(3x)^4(y^3)^0 + 4 (3x)^3(y^3)^1 + 6(3x)^2(y^3)^2 + 4(3x)^1(y^3)^3 + (3x)^0(y^3)^4\\$

Simplify the result to have:

$=81x^4+81x^3y^3+54x^2y^6+12xy^9+y^{12}$

From the simplified form of the expression, the third term on expansion is $54x^2y^6$

Learn more on binomial expansion here: brainly.com/question/13800206

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