Combining like term and the distributive property chapter 2 by Anylance

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Claire:Hello


Shaine: Heyy


Claire:Can you help me with my Algebra question?


Shaine:Okay!!


Claire:Here is the question, n+3-5n+12.


Shaine:That's easy you just have to follow the rules of combining algebraic expressions.


Claire:Ok!


Shaine:And remember that we can combine only similar terms by adding or subtracting their numerical coefficient, and you have to follow the rules in addition and subtraction of integers.


Claire:Okay


Shaine:Here are the Steps to do this n-5n+12+3, so by subtracting n-5n you get -4n and by adding 12 and 3 you get 15 so you get -4n+15, n which is also known as 1n and 5n are similar terms because they both have the same literal coefficient which is n.


Claire:Okay!!


Shaine:Combining the numerical coefficient 1 and -5 will give us -4 then you have to combine the constants +12 and +3 and this will give us +15 therefore n-5n+12+3= -4n+15.


Claire:Okay thanks!!


Shaine: I'll give you another question, 2+4(3n+8) and explain it.


Claire: We have to use distributive law of multiplication that is to multiply 4 to the the terms inside the brackets. 4(3n+8) → 12n+32, so you have to multiply 4 and 3n that gives you 12n and 4 times 8 that gives you 32 and now you have to distribute 4 to each term inside the brackets and that gives us 2+12n+32 and combining similar terms 12+32+2 and by adding 32 and 2 we get 34 so the answer is 12n+34.


Shaine:See it was easy right?


Claire:Thanks!!





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