Question

coefficient of x,y and z^2 in -7/11 x^2yz^3?​

Answer 1

Answer:

2 is the coeffivient of y and 0.is the coefficient of x

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Answer 2

Answer:

What is the co-efficient of x^2 *y*z in the expansion of (x+y+z) ^4?

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Interested in finding the coefficient of x2yz in the expansion of (x+y+z)4

(x+y+z)4=[x+(y+z)]4=∑k=04(4k)x4−k(y+z)k

=∑k=04(4k)x4−k∑r=0k(kr)yrzk−r

=∑k=04∑r=0k(4k)(kr)x4−kyrzk−r

To find the coefficient of x2yz , compare the degrees of x,y,z :

x:4−k=2⟹k=2

y:r=1

z:k−r=1⟹r=1 satisfies this constraint.

Coefficient of x2yz=(42)(21)=6×2=12

Ans: 12

Step-by-step explanation:

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