What is bigger 4/5 or 8/10
2 answers:
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Answer:
Step-by-step explanation:
We have been given an expression . We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form .
To convert our given expression into perfect square trinomial, we need to add and subtract from our given expression.
We can see that value of b is 11, so we need to add and subtract to our expression as:
Upon comparing our expression with , we can see that
,
and
.
Upon simplifying our expression, we will get:
Therefore, our perfect square would be .
The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:
So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.
In this case, the squares are obvious: is the square of
, and
is the square of
So, we can factor the expression as
(the round parenthesis aren't necessary, I used them only to make clear the two terms)
We can simplify the expression summing like terms: