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Simplify the expression rac(x+1)(4a2-ax)x2-4ax-4a+x and find two consecutive even numbers whose sum is 270.
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2 partsStep-by-step solution
7 stepsHere are the solutions to the questions:
Part 12· 3 steps
Simplify the expression .
Factor the numerator.
Factor out from the second term in the numerator:
Factor the denominator.
Group terms in the denominator and factor by grouping:
Simplify the expression.
Substitute the factored forms back into the expression:
Notice that .
Assuming and , we can cancel out the common factors and :
The simplified expression is .
Part 13
The sum of two consecutive even numbers is 270. Find the numbers.
Define the two consecutive even numbers.
Let the first even number be .
The next consecutive even number is .Set up the equation based on their sum.
Solve for .
Find the two numbers.
The first number is .
The second number is .
The two consecutive even numbers are .**
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