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Ah, I see someone else has also noted the Tutor's small error. M does not equal +7 but in fact equals -7. Still an excellent video! If this was a student's work very few marks should have been taken off, unless of course the error had made the rest of the working very much easier! I was told this at college many moons ago.
Amazing that this can be done. However, I wish I could watch someone teach me how to do this type of math instead of just watching someone do the math. I can't learn it by watching the video. Nothing against the person doing this math. I just wish I could find a teacher that can teach what goes on in a person's head as you put a plan together and solve this type of math problem. Great job!
You must write equal sign on the fraction line level, not on the numerator level. This together with other mistakes mentioned here and idiotic thumbs in response to those mentions makes video ugly.
"perfect square" is formula for expansion of (a+-b)**2 into a**2+-2*a*b+b**2 and back formula for a**2-b**2 = (a+b)*(a-b) is called "difference of squares"
The methodology consists of decomposing the the powers in terms that could be factored and identify them with the given equations the additional trick is to create the new variables for easy manipulation
Think two less than 13 such that sum of their square equals 13.2and 3 sre such twonumbers. The sum of the cubes of these numbers equals 35 Hence x = 2or3 while y= 3 or 2 are the solution of these two equations. P.k.Malhotra