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You are not logged in. #26 20130711 07:07:53
Re: Simplify the following:
Last but not the least could you help me with an illustration, how you got the (q  3r)^2 ?. :) Last edited by EbenezerSon (20130711 07:11:04) #27 20130711 07:34:09
Re: Simplify the following:OK. Here's an example of a perfect square. I work best with pictures so I've made a picture below for this example. Could this be a perfect square ? Well it has x^2. That's a good start. And it has 9y^2 = (3y)^2 so it's looking like it might be a perfect square. Have a look at my picture. Click it to make it bigger. With a perfect square there are four boxes. Two are squares: x^2 and (3y)^2 The other two boxes have to be the same rectangle shape, once one way round, and then again turned 90 degrees. So can the third term in the expression, 6xy, be made into two equal rectangles ... it must be 3xy and 3xy. So now I can factorise the expression into two equal brackets: For your example, you had q^2 tick 9r^2 = (3r)^2 tick Split the middle term in two: 6qr = 3qr  3qr tick so Now I shall have to log out so here's a hint for number (4) Three of these terms will make a perfect square. You need to decide which three. Then choose P and Q and use the difference of two squares. I'll check tomorrow to see how you are getting on. Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #28 20130711 21:59:12
Re: Simplify the following:4a^2  12ab  c^2 + 9b^2 Last edited by EbenezerSon (20130712 02:21:20) #29 20130711 22:03:28
Re: Simplify the following:The book gave this as the final answer: Last edited by EbenezerSon (20130711 22:05:36) #31 20130712 02:31:11
Re: Simplify the following:hi EbenezerSon You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #32 20130712 02:34:21
Re: Simplify the following:
Sir this one, I tried resolving it my self with my understanding, but got different result, please I would be much obliged if you would take the pain to explain it to my understanding once more by manipulating each step. Please. #33 20130712 02:42:55
Re: Simplify the following:OK. here we go. You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #34 20130712 02:43:51
Re: Simplify the following:
what was your answer? You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #35 20130712 05:08:23
Re: Simplify the following:Errr sir, that's good, so always to check, should I pick the numbers randomly in my head to do the substitution? To see if will get (0) as result for both? Or the figure I will get should be the same in each case? And not necessarily (0)? #36 20130712 05:12:33
Re: Simplify the following:I got: #37 20130712 07:06:47
Re: Simplify the following:Hi EbenezerSon; This involves complex numbers and I am sure this is not what they want so have you copied the problem correctly? Here are some easy to factor possibilities. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #38 20130712 17:01:35
Re: Simplify the following:
I showed you this one back in post 16.
Yes, you can pick random numbers. You may miss a mistake if you choose the same number for 'a' and 'b' so pick different numbers. It was a complete chance that the expression came out as 0. With a different choice for a, b and c it would have produced a completely different result. What you are looking for is the same result from both expressions. You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #39 20130713 05:53:16
Re: Simplify the following:I have understood #38 very well, but please, see how I came by that final answer, I have tried to understand how you solved it at #19 but still I haven't grasp it. Last edited by EbenezerSon (20130713 05:57:46) #40 20130713 06:18:12
Re: Simplify the following:(2m^2 + 3k)^2  (m  2k)^2 . Please see how I solved it, and correct where I have made the mistakes so that I could identify it. Please. #41 20130713 07:27:06
Re: Simplify the following:(2m + 3k)^2  (m  2k)^2 = (2m + 3k)(2m + 3k)  (m  2k)(m  2k) . by expansion. Correct! You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #42 20130716 07:57:33
Re: Simplify the following:
Thank you very much indeed Sir! #43 20130718 08:42:03
Re: Simplify the following:Simplify the following: Last edited by EbenezerSon (20130719 00:47:33) #44 20130719 01:02:25
Re: Simplify the following:Hi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #45 20130719 03:24:49
Re: Simplify the following:This is how the top right bracket looks: (x^1/2  x^1/2) The last X raises to the power negative one over two(x^1/2). #46 20130719 04:35:58
Re: Simplify the following:Hi; Those are both the same. But to put it into the form you want then we have? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #47 20130722 00:06:34
Re: Simplify the following:Errr okay, I see! #49 20130722 00:59:13
Re: Simplify the following:Please I want to follow the procedure before getting the answer, the book gave me exactly your answer, but the workings was not shown. #50 20130722 01:00:54
Re: Simplify the following:I multiplied the numerator out and then the denominator. Just plain multiplication. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. 