Friday, May 26, 2017

How To Add Fractions In Parentheses



first consider theexpression for negative 5 plus the quantity of 4 times x. now, take the product ofnegative 8 and that expression and then add 6. so let's do it step by step.


How To Add Fractions In Parentheses, first, we're going to havethis expression-- negative 5 plus something. so it's going to be negative 5plus the quantity of 4 times x. well, that's justgoing to be 4x.


so it's going to benegative 5 plus 4x. so that's thisexpression up here. now, take the productof negative 8, so were going tojust take negative 8, and we're going to multiplythe product of negative 8 and that expression. so we're going totake negative 8 and multiply itso that expression is this thing right over here.


so if we say the product ofnegative 8 in that expression is going to be negative8 times that expression, that expression is negative 5plus 4x, so that's negative 8. that's that expression. the product of the two, sowe could put a multiplication sign there, or we couldjust leave that out and implicitly it wouldmean multiplication, take the product of negative8 and that expression so that would be thenadding 6 right over here.


so we could write it as negative8 open parentheses negative 5 plus 4x and then add 6. let's do one more. first, consider the expressionthe sum of 7 and-- so that's going to be7 plus something-- and the product ofnegative 2 and x. the product of negative2 and x is negative 2x. so it's 7 plus negative 2x. we could writethat as 7 minus 2x.


so this is equal to 7 minus 2x. these are the same expression. what expression would be 4 plus? so now we're saying4 plus the quantity of 2 times that expression? so it's going to be4 plus some quantity. i'll put that in parentheses. the quantity of 2times-- i'll do this in magenta or in yellow.


2 times that expression--let me do this in blue-- that expression is thisthing right over here. so 4 plus the quantity of 2times that expression, 2 times 7 minus 2x. and we are done.


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