How to solve advanced fraction problem with algebra Good evening guys, ok so ive been stumped on t

Dale Tate

Dale Tate

Answered question

2022-06-11

How to solve advanced fraction problem with algebra
Good evening guys, ok so ive been stumped on this for some time and am a bit rusty with my fractions so i was wondering if i could get some help on answering this
I have to try and write this fraction on its own and in its most basic form (simple)
The problem:
( a 3 3 a 2 8 a 2 4 a ) ( a 2 9 2 a 2 + 5 a 3 )
Am really stuck, any help would be appreciated!

Answer & Explanation

drumette824ed

drumette824ed

Beginner2022-06-12Added 19 answers

When dividing something by a fraction, we multiply by the reciprocal of the fraction. So we have:
a 3 3 a 2 8 a 2 4 a a 2 9 2 a 2 + 5 a 3 = a 3 3 a 2 8 a 2 4 a × 2 a 2 + 5 3 a 2 9
Here it can help to factor out terms early on:
a 3 3 a 2 8 a 2 4 a × 2 a 2 + 5 3 a 2 9 = a 2 ( a 3 ) 4 a ( 2 a 1 ) × ( a + 3 ) ( 2 a 1 ) ( a + 3 ) ( a 3 )
We can now eliminate some terms that appear in both the numerator and denominator. Simplifying, we get:
a 2 ( a 3 ) 4 a ( 2 a 1 ) × ( a + 3 ) ( 2 a 1 ) ( a + 3 ) ( a 3 ) = a 4

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