Given: 4 < a < 5, 2 < b < 4

Fill in the blanks:
___ < a/3b - b/3a <

I hope this helped and need more help call me at 4076321760

 ab • (a + b) • (a - b)

Step-by-step explanation:

a3b-b3a  

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  a3b - ab3  =   ab • (a2 - b2)  

Trying to factor as a Difference of Squares :

2.2      Factoring:  a2 - b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  a2  is the square of  a1  

Check :  b2  is the square of  b1  

Factorization is :       (a + b)  •  (a - b)  

Final result :

 ab • (a + b) • (a - b)

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,