Mathematics: Find the 8th term of the expansion a. 5x3y7 b. -14x3y7 c. 70x5y5 d. -15x3y7 select the best answer from the choices provided a b c d

Find the 8th term of the expansion a. 5x3y7 b.

Ответ:

BLASIANNkidd

09.03.2022

Mathematics

Correct choice is D

Step-by-step explanation:

The i-th term of the binomial expansion $\left(\dfrac{1}{2}x-y\right)^{10}$ is

$T_i=C^{10}_{i-1}\cdot \left(\dfrac{1}{2}x\right)^{10+1-i}\cdot (-y)^{i-1}.$

If i=8, then

$T_i=C^{10}_{7}\cdot \left(\dfrac{1}{2}x\right)^{10+1-8}\cdot (-y)^{8-1}=-120\cdot \left(\dfrac{1}{2}x\right)^3\cdot y^7=-120\cdot \dfrac{1}{8}x^3\cdot y^7=-15x^3y^7.$

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Ответ:

jacole22

26.05.2021

Mathematics

Ok You're probably here from K12 so heres the

Conclusion: If a polygon undergoes a rigid transformation, then the image and pre-image have equal perimeters.

I just took the test and got this right, I'm a K12 student as well.

Hope this helps :)

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Find the 8th term of the expansion a. 5x3y7 b. -14x3y7 c. 70x5y5 d. -15x3y7 select the best answer from the choices provided a b c d

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