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dolphi86 [110]
2 years ago
9

6x + 3 = 3(2x+3) Which statement correctly explains whether the equation is true or not?

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
7 0
That answer is B because 3x3=9
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Suppose that we wish to expand (x + y + z)17. what is the coefficient of x 2 y5z10
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We use the trinomial theorem to answer this question. Suppose we have a trinomial (a + b + c)ⁿ, we can determine any term to be:

[n!/(n-m)!(m-k)!k!] a^(n-m) b^(m-k) c^k

In this problem, the variables are: x=a, y=b and z=c. We already know the exponents of the variables. So, we equate this with the form of the trinomial theorem.

n - m = 2
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Since we know k, we can determine m. Once we know m, we can determine n. Then, we can finally solve for the coefficient.

m - 10 = 5
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n - 15 = 2
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Therefore, the coefficient is equal to:

Coefficient = n!/(n-m)!(m-k)!k! = 17!/(17-5)!(15-10)!10! = 408,408


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