8x-6 over 5x squared over x squared +18x+46 over 6x
wow, 3 "overs".
write it this way with brackets
[(.....)/(......)] / [(.....)/(....) ]
so we can tell who is who in your fraction.
also in 5x squared, is it (5x)^2 or 5x^2 ?
To simplify the expression (8x-6)/(5x^2)/(x^2 + 18x + 46)/(6x), we can begin by simplifying each part individually. Let's break it down step by step:
1. Simplify (8x-6)/(5x^2) by dividing the numerator by the denominator.
(8x-6) / (5x^2) = (8x-6) * (1 / 5x^2) = (8x-6) * (1 / 5) * (1 / x^2) = (8x-6) / (5x^2)
2. Next, simplify (x^2 + 18x + 46) / (6x) by dividing the numerator by the denominator.
(x^2 + 18x + 46) / (6x) = (x^2 + 18x + 46) * (1 / 6x) = (x^2 + 18x + 46) * (1 / 6) * (1 / x) = (x^2 + 18x + 46) / (6x)
3. Now that we have simplified both parts, we can divide them:
(8x-6) / (5x^2) / (x^2 + 18x + 46) / (6x) = (8x-6) / (5x^2) * (6x) / (x^2 + 18x + 46)
4. The expression can be simplified further by canceling out common factors between the numerator and denominator:
(8x-6) / (5x^2) * (6x) / (x^2 + 18x + 46) = (8x-6) / (5x^2) * (6x) / [(x+2)(x+23)]
5. Factor the quadratic expression (x^2 + 18x + 46) to get (x+2)(x+23).
Therefore, the simplified expression is (8x-6) / (5x^2) * (6x) / [(x+2)(x+23)].