Question

how do you simplify and what are the steps to:
4x squared
over
2x squared-3x-2 x
2x squared-5x+2
over
4x-2

Answer 1

4x^2? or (4x)^2?
They're different

Answer 2

the first one..

Answer 3

\[4x ^{2} (2x ^{2}-5x+2)\]
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\[( 2x ^{2}-3x-2) (4x-2) \]

When you multiply fractions you multiply across
Factor your trinomials into 2 binomials and anything you can factor out of the other terms

Answer 4

\[(2x^2-5x+2) = (2x^2-4x-x+2) = 2x(x-2)-1(x-2) = (2x-1)(x-2)\]

Answer 5

what do you mean across? as in the denomonators....?

Answer 6

Yeah numerator multiplies with numerator and same with denominator

Answer 7

\[(2x^2-3x-2) = (2x^2-4x+x-2) = 2x(x-2)+1(x-2) = (2x+1)(x-2)\]

Answer 8

okay I think this is gonna help....but its a rational expression, so the answer would need a denominator, right?

Answer 9

Not necessarily, if everything cancels and the denominator equals 1 then you wouldn't have a denominator.

Answer 10

okay. I think setting it up in brackets is gonna be easier. thanks for your help :)