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3 years ago

Need help with this so pls help!!!

Mathematics

1 answer:

Marat540 [252]3 years ago

8 0

You need to simplify the expression and then you will know what the y coordinates are. I’m not good at this But you just need to solve the equation to be able to get the same coordinates by themselves. It’s sorta like geometry and algebra mixed. But first simplify the equations and then that will really help you.

Have a great day!

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Combinatorics: what is the coefficient of (a^2)(b^3)(c) in (2a - b + 3c)^6?

Karolina [17]

Answer:

The coefficient of a²b³c is -720

Step-by-step explanation:

Given: $(2a-b+3c)^6$

Let 2a-b = x and 3c = y

$(x+y)^6$

General term of binomial expansion.

$T_{r+1}=^nC_rx^{n-r}y^r$

where, n=6 , r=1 ( because exponent of c is 1)

$\Rightarrow ^6C_1x^{6-1}y^1$

$\Rightarrow 6(2a-b)^{5}3c$ $\because y=3c, x=2a-b$

$\Rightarrow 18(2a-b)^{5}c$ ----------(1)

Now, we simplify (2a-b)⁵

$T_{r+1}=^5C_r(2a)^{5-r}(-b)^r$

The exponent of b is 3 and a is 2 .

If we take r=3 will get exponent of b is 3 and a is 2

So, put r=3

$T_{4}=^5C_3(2a)^{2}(-b)^3=-40a^2b^3$

Substitute into equation (1)

$\Rightarrow 18\cdot -40a^2b^3c$

$\Rightarrow -720a^2b^3c$

Hence, The coefficient of a²b³c is -720

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Step-by-step explanation:

From the way the answers are presented, it can be seen that x refers to the radius of the base of the cone

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egoroff_w [7]

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=======================
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=======================
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======================
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