What is the coefficient of x3 in expansion of x2 − x 2 10?

Hence, since [x3](xk(x−1)k)=0 for k∉{2,3}, we have that [x3](x2−x+2)10=[x3]3∑k=2(10k)210−kxk(x−1)k=(102)28(−2)+(103)27(−1)=−23040−15360=−38400.

What is the coefficient of x 3 in the expansion?

Coefficient of x3 in the expression (x−3)10 is −262440 .

What is the coefficient of x in the expansion of x 2 3?

Answer: The coefficient of x² is -6.

What is the coefficient of x in the expansion of x 3 3?

= x3 +27 + 9×2+27x Hence, the coefficient of x in (x + 3)3 is 27.

What is the coefficient of x2?

It is usually an integer that is multiplied by the variable next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient. For example, in the expression 3x, 3 is the coefficient but in the expression x2 + 3, 1 is the coefficient of x2.

What is the coefficient of x in the expression?

Coefficient is a numerical or Constant quantity multiplying the variable in algebraic expression. Coefficient of x in 4x-3y is 4 as 4 is the constant multiplying the variable. Coefficient of x in 8-x is -1 as -1 is the constant multiplying the variable.

What is the coefficient of x²?

1
A coefficient refers to a number or quantity placed with a variable. It is usually an integer that is multiplied by the variable next to it. Coefficient of x² is 1.

How do you find the coefficient of expansion?

Linear thermal expansion is ΔL = αLΔT, where ΔL is the change in length L, ΔT is the change in temperature, and α is the coefficient of linear expansion, which varies slightly with temperature.

What is the coefficient formula?

Coefficients are the numbers by which the variables in an equation are multiplied. For example, in the equation y = -3.6 + 5.0X 1 – 1.8X 2, the variables X 1 and X 2 are multiplied by 5.0 and -1.8, respectively, so the coefficients are 5.0 and -1.8. The size and sign of a coefficient in an equation affect its graph.

What is the coefficient of x15 in the equation?

By applying the value of r in the (1)st equation, we get Hence the coefficient of x15 is 10. Coefficient of x 2 term is -15. Find the coefficient of x 4 in the expansion of (1 + x 3) 50 (x 2 + 1/x) 5.

What is the efficiency of X¹⁰ in the expansion of (1 +x)²(1+x²)³?

Coefficient of x¹⁰ in the expansion of (1+x)²(1+x²)³ = 0, since the highest degree term in the expansion is 8. = 52. Hence, the option A is the correct answer. Was this answer helpful?

What is the coefficient of x4 with respect to X4?

Coefficient of x4 is 55C3 = (55 ⋅ 54 ⋅ 53)/ (3 ⋅ 2 ⋅ 1) = 26235 Hence the coefficient of x4 is 26235.

How can we read off the multinomial coefficients from the terms?

It is possible to “read off” the multinomial coefficients from the terms by using the multinomial coefficient formula. For example: coefficient of x^7 will be = (-)6. How can we find the coefficient of x^203 in the expansion of (x-1) (x^2-2) (x^3-3) … (x^20-20)?