Answer:

Step-by-step explanation:
The Given question is INCOMPLETE as the statements are not provided.
Now, let us try and solve the given expression here:
The given expression is: 
Now, the BINOMIAL EXPANSION is the expansion which describes the algebraic expansion of powers of a binomial.
Here, 
or, on simplification, the terms of the expansion are:

The above statement holds for each n > 0
Hence, the complete expansion for the given expression is given as above.
Answer:

Step-by-step explanation:
Pythagorean theorem is:


Answer:
There is an error in the application of the DMAS rule, The answer as per the DMAS rule is 75.
Step-by-step explanation:
There is an error in the implication of the DMAS rule of Mathematics.
DMAS rule determines the arrangement of mathematical functions to be performed in an expression where multiple functions are present.
The DMAS Rules describes the following arrangement of the mathematical functions.
1st Division
2nd Multiplication
3rd Addition
4th Subtraction
Applying the above rule the solution is as follow
62 + 3 + 5 x 2
First, we need to solve the Multiplication because there is no division
62 + 3 + 10
Now perform the addition function
65 + 10
75
Answer:
Ian's pattern: 15, 31, 63, and 127.
Nicole's pattern: 485, 1457, and 4373.
Have a nice rest of your day :)