Answer: Option B. -> 5.38

 -   Given expression = (8.94)3 - (3.56)3 (8.94)2 + 8.94 x 3.56 + (3.56)2 =   a3 - b3 a2 + ab + b2           = (a - b) = (8.94 - 3.56) = 5.38

To solve this problem, we will use the following formulas:

(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac

(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3

Using these formulas, we can simplify the expression as follows:

8.94 x 8.94 x 8.94 - 3.56 x 3.56 x 3.56

= (8.94)^3 - (3.56)^3

= (8.94 - 3.56)((8.94)^2 + (8.94)(3.56) + (3.56)^2) [Using (a-b)(a^2 + ab + b^2) = a^3 - b^3]

= (5.38)(8.94 x 8.94 + 8.94 x 3.56 + 3.56 x 3.56)

Now we can substitute these values in the given expression to obtain:

8.94 x 8.94 x 8.94 - 3.56 x 3.56 x 3.56 8.94 x 8.94 + 8.94 x 3.56 + 3.56 x 3.56

= (5.38)(8.94 x 8.94 + 8.94 x 3.56 + 3.56 x 3.56) / (8.94 x 8.94 + 8.94 x 3.56 + 3.56 x 3.56)

= 5.38

Therefore, the correct answer is option B, 5.38.

In summary, to solve this problem, we used the formulas for the cube of a binomial and the square of a trinomial to simplify the expression and then substituted the values to obtain the final answer. It is important to remember these formulas and to use algebraic manipulation to simplify complex expressions.

If you think the solution is wrong then please provide your own solution below in the comments section .

Answer: Option D. -> 87

 -   0.84181 = 84181 - 841 99000 = 83340 99000 = 463 550               Required difference = (550 – 463) = 87.  

F = 0.84181
To convert it into fraction, we first multiply it with a number so that the decimal part becomes whole number.
Let us multiply it with 100
F × 100 = 0.84181 × 100 = 84.181
Now, write 84.181 as a fraction by putting it over 100
F = 84.181/100
Now, reduce the fraction in lowest terms
F = 841/100
Now, subtract the numerator and denominator
87= 841 - 100
Hence, the denominator exceeds the numerator by 87.
Therefore, the correct option is Option D . 87

If you think the solution is wrong then please provide your own solution below in the comments section .

Answer: Option A. -> 1/6
 -    Converting each of the given fractions into decimal form, we get:   2 3 = 0.66, 3 4   = 0.75, 4 5  = 0.8, 5 6  = 0.833.            Since 0.833 > 0.8 > 0.75 > 0.66, so 5 6 >  4 5 >  3 4 >  2 3             Required difference = 5 6    - 2 3   = 1 6        

Answer: Option A. -> 0.0004

 -      Let .04 x x = .000016. Then, x = .000016 .04 = .0016 4  = .0004

To solve this problem, we need to use the inverse operation of multiplication. In this case, we will be using division to solve the equation.

• Division is the inverse operation of multiplication, which means that whatever two numbers are multiplied together, they can be divided to get the original numbers back.
• The inverse operation can be used to solve equations where the unknown is multiplied by a known number.
• In this case, the equation is .04 x ? = .000016.
• To solve this equation, we need to divide both sides of the equation by .04, which will give us the answer.
• So, .04 divided by .04 is equal to 1.
• Now, we can divide .000016 by 1, which will give us .0004 as our answer.
• Therefore, the correct answer is Option A: 0.0004.

To summarise, .04 x ? = .000016 can be solved by using the inverse operation of multiplication, which is division. By dividing both sides of the equation by .04, we get the answer of .0004. Therefore, the correct answer is Option A: 0.0004.

Answer: Option B. -> 4
 -   Given Expression =   a2 - b2   =   (a + b)(a - b)   = (a + b) = (2.39 + 1.61) = 4. a - b (a - b)

Answer: Option A. -> 0.86
 -    Given expression  =  (0.96)3 - (0.1)3 (0.96)2 + (0.96 x 0.1) + (0.1)2   =    a3 - b3   a2 + ab + b2  
= (a - b)  
= (0.96 - 0.1)   = 0.86    

Answer: Option B. -> 0.125
 -   Given expression = (0.1)3 + (0.02)3   =   1   = 0.125 23 [(0.1)3 + (0.02)3] 8

Answer: Option C. -> 17.2
 -   29.94  =  299.4 1.45 14.5  
 =     2994  x  1    [ Here, Substitute 172 in the place of 2994/14.5 ] 14.5 10  
 =  172 10
= 17.2

Answer: Option B. -> 1
 -   Given Expression = (a2 - b2) = (a2 - b2) = 1. (a + b)(a - b) (a2 - b2)

Answer: Option A. -> 0.0144
 -   144 = 14.4 0.144 x