0

# need to see the steps so i can simplify need help

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

### 2 Answers by Expert Tutors

Rita S. | Hate Reading? Scared of Math? I CAN HELP!!Hate Reading? Scared of Math? I CAN HE...
4.9 4.9 (17 lesson ratings) (17)
0

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...
4.6 4.6 (55 lesson ratings) (55)
-1

The difference of squares states: a2 - b2 = (a + b)(a - b)

Assuming that your fraction is:  (a2 - 4b2)/(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.