I am simplifying a fraction to lowest terms a^2 -4b^2/a+2b

I am simplifying a fraction to lowest terms a^2 -4b^2/a+2b

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Rita S. | Hate Reading? Scared of Math? I CAN HELP!!Hate Reading? Scared of Math? I CAN HE...

We can look at the problem as

(a*a) - (2b*2b) a

________________ . We know that _____ = 1

(a+2b) a

So we now have a - (2b*2b)

____________

2b

2b

____ = 1 so we are left with a-2b which is the answer.

2b

** **

John R. | John R: Math, Science, and History TeacherJohn R: Math, Science, and History Teach...

The difference of squares states: a^{2} - b^{2} = (a + b)(a - b)

Assuming that your fraction is: (a^{2} - 4b^{2})/(a + 2b)

The numerator could be rewritten: [(a)^{2} - (2b)^{2}]/(a + 2b)

Using difference of squares, the numerator could be factored: [(a - 2b)(a + 2b)]/(a + 2b)

Since both the numerator and the denominator contain (a + 2b), the factors cancel leaving: a - 2b

The final answer is **a - 2b**.

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