Simplify the expression (need hint)

In summary, this conversation is about a task for students preparing to enter university. The task involves simplifying a mathematical expression, which can be made easier by factoring and substituting values for variables. The final result will be a fraction with a simplified numerator and denominator.
  • #1
Kifsif
1
0
Well, this is a task for those who prepares to enter a university.
According to the textbook this task is among the easiest ones.

I managed to simplify this part of the (4b^4 + 4ab^2+a^2):(2b^2 + a) = 2b^2 + a.

Well, I can't proceed any further.

Could you give me a hint?
 

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  • #2
Can you factorise the term on the right? Having factorised it, that gives you two 'roots', i.e. Relationships between a and b that would make that term vanish. Try substituting those, in turn, in denominators elsewhere to see if there's some cancellation. Likewise, the case 2a=b looks interesting. See what other terms vanish for that combination.
 
  • #3
You have to convert the upper fractions to a common denominator. Then you'll find that the numerator cancels out with part of the denominator. You'll get (I hope :smile:)
[itex]\frac{b^2+b+ab+a}{b^2-ab-2a^2}[/itex].
 

FAQ: Simplify the expression (need hint)

How do I simplify a mathematical expression?

To simplify a mathematical expression, you need to combine like terms and use the appropriate mathematical operations to reduce the expression to its simplest form.

What are like terms?

Like terms are terms that have the same variables with the same exponents. For example, 3x and 5x are like terms, but 3x and 5y are not.

How do I combine like terms?

To combine like terms, you need to add or subtract the coefficients of the terms. The variables and exponents remain the same.

What are the appropriate mathematical operations for simplifying an expression?

The appropriate mathematical operations for simplifying an expression include addition, subtraction, multiplication, division, and applying the distributive property.

Can I use a calculator to simplify an expression?

Yes, you can use a calculator to simplify an expression. However, it is important to understand the steps and concepts behind simplifying expressions, as calculators may not always provide the most simplified form.

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