Complete the following sentence. For b>0, -b = %3D For b> 0, -b (Type an exact answer, using radicals as needed.)

Q: Ellen is 2 years older than her brother Luke. Let k represent Luke’s age. Identify the expression…

A: Given Data: 'k' represents Luke's age   Let X represent Ellen's age

Q: Simplify the expression, and rationalize thedenominator when appropriate.

A: Given;                     17 Apply rule:    1=1                    =17

Q: Simplify: х +h х +h+ 1 х +1 h

A: To simplify: The expression x+hx+h+1-xx+1h. Concept used: Fraction rule: abc=ab·c

Q: Perform the indicated operations and write the result in standard form. (-2 + √-100)2

A:

Q: Max is twice as old as Jonas. If M represents Max’s age and J represents Jonas’s age, write an…

A: LetM be the Max’s age.J be the Jonas’s age.

Q: Use the identity (a + b)2 = a2 + 2ab + b2 to calculate 322

A: Let us take, 32 as (20+12) which is of the form (a+b). where a=20 and b=12.

Q: Find the numbers. One positive number exceeds another by 4, and their product is 60.

A:

Q: The product of two consecutive even integers is 224. Find the integers List each combination of…

A:

Q: 32²/27x8y6

A: We will use the exponential rules given below to solve and simplify

Q: Write an equivalent expression using radical nota- tion and simplify: 82/3.

A:

Q: = x³, [-6,7] lic notation and fractions where needed. Give your answer in the

A:

Q: 1+2345=

A: Here,                  1+2345    0001+23452346

Q: <-2 c. Simplify: x+2

A: Given: elnx2-4-2lnx-2x+2 we want to simplify above expression