Answer:
40
Step-by-step explanation:
(2x+1/(2x))^5 *(2x -1/(2x))^5
= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2
= (4x^2-1/4(x)^2)^5
now
x =4x^2. ,a = 1/4(x)^2 ,n =5
we have
general term = Cr *x^r *a^(n-r)
= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)
= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)
= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)
= Cr * 4(2r-n) *x(4r-2n)
now for x^2
4r-2n = 2
4r -10=2
4r =12
r = 3
now for coeff
C(5,3) * 4^(2*3-5)
5!/(3!*(5-3)!) * 4
5*4/(2*1)*4
40
Hey!
Explanation:
↓↓↓↓↓↓↓↓↓↓
First, remove parenthesis.
Secondly, multiple by the numbers.
Third, apply exponents rule.
Finally, refine.
<u><em>Answer⇒⇒⇒⇒28</em></u>
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
To find if a series is either geometric or arithmetic:
it must satisfy this property:
Arithmetic:
a(n+1) - a(n) = const
Geometric:
a(n+1)/a(n) = const
In your case:
r1 = 7 -4 = 3
r2 = 12 - 7 = 5
r1 != r2 (not arirthmetic)
Geometric check:
r1 = 7/4
r2 = 12/7
r1 != r2 (not Geometric)
so neither.
<span>Abigail went shopping for her sister's birthday. She spent 2/7 of her money on a necklace and 3/4 of the remainder on new outfits. She had $56.00 left. How much money did Abigail spend on the necklace? (PLEASE SHOW STEPS)</span>
