Problem: Generating an expression that removes the parentheses using first principles.
Given (a+b)(c+d) = ab+ac+bc+bd,
Can we say: (a+b)÷(c+d) = a/c+a/d+b/c+b/d is True? (no we can't if we use test data!)
What I really want is to express R, so far I know R = (360 over W) - 10 - (R.(T -75W) over W)
So I'm trying to isolate for R on LHS only.
If a=b=1 and c=d=2 then
≍ 2÷4 = 1/2
≍ 1/2 + 1/2 + 1/2 + 1/2 = 2 So no it's not true, but invert 2 and it's 1/2 are we close,
can we say:
(a+b)(c+d) = _________1_________
Where a=1, b=4, c=2, d=8
Testing (a+b)(c+d) = (1+4)(2+8)
Testing _________1_________ = _________1_________
=8/25 ≠ 50 So no that's not it!
Please help me. The actual equation I'm trying to simply for programming purposes is:
R = (360 over W) - 10 - (R.(T -75W) over W)
I need to express the equation isolating R on one side of equation only.