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2 years ago

Can someone help me solve this please, I'm stuck.

Mathematics

1 answer:

salantis [7]2 years ago

8 0

The expression (3a + 2b)^7 is a binomial expression;

The coefficient of the fourth term is 15120

<h3>How to determine the coefficient fourth term?</h3>

The equation is given as:

(3a + 2b)^7

The above expression is a binomial expression;

Assume the expression is:

(x + y)^n

The equation of the expansion is:

$(x + y)^n = ^nC_r * x^{n-k} * y^k$

When the expression is expanded, the parameters of the fourth term are

n = 7

r = 4

x = 3a

y = 2b

So, we have:

(3a + 2b)^7 = 7C4 * (3a)^(7-4) * (2b)^4

Evaluate each factor

(3a + 2b)^7 = 35 * (3a)^3 * (2b)^4

Evaluate the powers

(3a + 2b)^7 = 35 * 27a^3 * 16b^4

Evaluate the product

(3a + 2b)^7 = 15120a^3b^4

The coefficient of the above expression is 15120

Hence, the coefficient of the fourth term is 15120

Read more about binomial expressions at:

brainly.com/question/13602562

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