A^2−8ab+16b^2=81, find a–4b
1 answer:
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Answer:
<em>The second choice is correct. It can be factored as:</em>
Step-by-step explanation:
<u>The Difference of Squares Method for Factoring</u>
The expression:
Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.
The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.
The last two choices are not valid because they are not a subtraction but an addition.
The first choice is not valid because none of the terms is a perfect square.
The second choice is correct. It can be factored as:
Answer:
x = -14
Step-by-step explanation:
The expression to write in this problem is:
"the sum of x and 12 equals the sum of half of x and 5"
We have:
- The sum of x and 12 is:
- The sum of half of x and 5 is:
So, the equation to write in this problem is
We solve it as follows:
1) First, we subtract from both sides, and we get
2) Then, we subtract 12 from both sides:
3) Now we multiply both sides by 2:
So, this is the solution.