25² = ( 20 + 5 )² This is the square of a binomial:
( a + b )² = a² + 2 a b + b²
625 = 20² + 2 · 20 · 5 + 5²
625 = 400 + 200 + 25
625 = 625 ( correct )
Answer:
D
Step-by-step explanation:
Please look at the attached picture for full solution.
Method 1 is using the shoelace method to find the area of the rectangle. Shoelace method can be used to find the areas of any polygons given their coordinates. The coordinates have to be taken in an anticlockwise order and ending with the first coordinate.
Method 2 is making use of the distance formula of two points. The formula is as shown below:

Having found the distance of the length and breadth of the rectangle, you can now find its area since area of rectangle= length × breadth.
Answer:
(B) The exponents should be subtracted by the quotient rule of exponents
Step-by-step explanation:
Let's examine how this was solved.

He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.

He then combined the numerator exponents. Exponent rules say that
, so he should have ended up with
, which he did. This is correct.

Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have
, it equals
.

So the final answer should have been 
Hope this helped!
Well I only know the first one