How to Master Simplifying Rational Algebraic Expressions?

hi guys it's me teacher going in today's video we will talk about simplifying rational expressions so we have here four different examples where in we will all simplify this rational algebra expressions and i hope the materials from video natin for today so let's start simplifying these expressions in number one we are given two x minus four all over 4. so what you need to do here is to factor out your numerator again factor out your numerator wherein as you can see we can find the common monomial factor as 2 so we have 2 the factors of 2x minus 4 is simply 2 times x minus 2 and then copy your denominator which is equal to 4. by the way guys if you want to check whether your factors are correct you can use distributive property so 2 times x is 2x 2 times negative 2 is negative 4 meaning this is these are the true factors of 2x minus 4 and as you can see we can simplify 2 over 4 and that can be simplified as one because uncannily greatest common factor is two and it on your mind we can cancel cancel out four and it will become two so as you can see all we have here is one times x minus two over two perro meaning the simplified form of item number one is simply x minus two over two and this is the final answer for number one now let's move on to item number two in number 2 we are given x plus 5 times x minus 7 over x minus 7 times x plus 2. both the numerator and denominator are already in factoid form and as you can see present dito yung factors numerator in denominator and that is x minus seven and x minus sevens since they're the same we can easily cancel this out and cancel this out and what will remain in number two is x plus five over x plus 2 and this is now the correct answer or the simplified form of this given rational algebra expression now let's move on with item number three for number three we have x squared plus four x minus five over x squared minus twenty five in this given rational algebraic expression we need to do factoring okay different methods on factoring in number three we need to factor out x squared plus four x minus five and the factors are x plus five and x minus one using foil method you can check your answer whether it's correct lower attorneyman difference of two squares meaning the factors are x plus five and x minus five if you want to review or if you want to know more about factoring kazakhelan in knowledge about factoring you can browse our videos about factoring techniques mero thai data so as you can see given these factors in your numerator and denominator maritime common factor which is x plus five so you can directly eliminate this one and this one so what we have here is simply x minus one over x minus five and this is now the simplified form of x squared plus four x minus five over x squared minus twenty five so i hope placing the huaniyun one two and three not in and let's move on with item number four in number four we are given x plus three over x squared plus five x plus six what we have here in the numerator is already simplified well another impression factor power and zero common factor okay for a number to attend a factor we have x squared plus five x plus six so going copy that in the numerator x plus three over this one expensive combination factor okay i'm gonna go in detail is to think of the factors of six factors of six that can give you the sum of five try nothing we have one we i will list down all the factors of six one times six or six times one is six we also have three times two which is also equal to six so we can move this we also have negative one times negative six still the product is positive six we are in italian negative three times negative two and the product is positive six among these four different factors or four different pairs of factors allendito you will be biggest in the sum of positive five x addition okay three plus two is equal to five and three times two is equal to six meaning the factors are simply x plus three times x plus two and since we already factored out your denominator as you can see we have here same factors in the numerator and denominator so we can cancel this out and cancel this out and what will remain here is nothing in the numerator but we annotate an invisible one so that melanin one gen over copy the remaining factor in your denominator x plus two meaning the simplified form of x plus 3 over x squared plus 5x plus 6 is 1 over x plus 2. by the way guys you can search me satin fb page which is see teacher gone bernie on tick tock we're in empanadas teacher god so if you're new to my channel don't forget to like and subscribe but hit that little bell button for you to be updated satin latest uploads again it's mitigar going by

Channel: MATH TEACHER GON

Views: 150,688

Keywords: rational expressions, rational algebraic expressions, simplifying expressions, grade 8 math, math 8, mathematics 8, ako si teacher gon, math teacher gon, math with mr. j, factoring, how to factor expression, algebra, simplifying algebraic expressions

Id: DmMrpdwt91M

Length: 8min 27sec (507 seconds)

Published: Tue Aug 30 2022