Question

Simplify completely quantity 4 x squared minus 7 x plus 3 all over x squared plus 5 x minus 6

Answer 1

First, I'm going to write out the expression to make it easier to simplify. This expression is (4x^2 - 7x + 3)/(x^2 + 5x - 6). Now, we must factor both trinomials. Using the bottoms up method and the quadratic equation ((-b +/- sqrt(b^2 - 4ac))/2a), we can get an expression of ((x - 1)(4x - 3))/((x - 1)(x + 6)). Finally, we can cancel out the (x - 1) in the numerator with the (x - 1) in the denominator. This gives us a final expression of (4x - 3)/(x + 6).

Hope this helps!

Answer 2

Answer: Our simplified form :

`(4x-3)/(x+6)`

Step-by-step explanation:

Since we have given that

`(4x^2-7x+3)/(x^2+5x-6)`

Now, we will simplify it step by step , we get

`(4x^2-4x-3x+3)/(x^2-5x+x-6)\\\\=(4x(x-1)-3(x-1))/(x(x+4)+1(x+4))\\\\=((4x-3)(x-1))/((x+4)(x+1))\\\\=((4x-3)(x-1))/((x-1)(x+6))\\\\=(4x-3)/(x+6)`

Hence, our simplified form :

`(4x-3)/(x+6)`