Can someone help me simplify this
(2x/15)^2 / (.15-x/15)(.2-x/15)
I end up getting this, 4x^2/x^2-17x+.003
(2x/15)^2 / (.15-x/15)(.2-x/15)
(4x^2/15^2) / (x^2-5.25x+6.75)/15^2
The 15^2 cancel out, and we have
4x^2/(x^2-5.25x+6.75)
16x^2/(4x^2-21x+27)
40+50*80/
Sure! To simplify the given expression:
(2x/15)^2 / (.15-x/15)(.2-x/15)
We can start by simplifying the expression within the parentheses first. Let's multiply the terms of the denominator:
(.15 - x/15)(.2 - x/15)
Using the distributive property, we can expand this expression as follows:
(.15)(.2) - (.15)(x/15) - (x/15)(.2) + (x/15)(x/15)
Simplifying further:
.03 - (.01x) - (.01x) + (x^2/225)
Now, let's substitute this expanded expression back into our original expression:
(2x/15)^2 / (.03 - (.01x) - (.01x) + (x^2/225))
To simplify this expression further, let's square the numerator:
(4x^2/225) / (.03 - (.01x) - (.01x) + (x^2/225))
Now, let's simplify the denominator by combining like terms:
(.03 - .02x + (x^2/225)) / (225)
Combining like terms, we get:
(.03 - .02x + x^2/225) / 225
Thus, the simplified expression is:
4x^2 / (x^2 - 17x + .003)