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Simplified Math Equation?

I need to simplify/solve these equation:

1.(7n+3)5+(11+4n)2

2. (6a+7)2+4a

PLEASE SHOW THE STEPS YOU USED TO SIMPLIFY IT. I already what the answers are but I'm stuck on finding the steps to solve it. There is no exact number answer for this equation. The result should be something like-5n+42 with the variable since the variable is not listed.

Update:

Sorry I just realized this. On the title it should be simplified math expression not equation!

13 Answers

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  • 1 decade ago
    Favorite Answer

    1.(7n+3)5+(11+4n)2 --->distribute the 5 and 2 into the parenthesis

    =(35n+15)+(22+8n) --->combine like terms

    =43n+37 --->simplified expression

    2. (6a+7)2+4a ---> distribute the 2 into the parenthesis

    =12a+14+4a ---->combine like terms

    =16a+14

    hope that helped

  • 1 decade ago

    ok, just simplify? gee thats the easy part wait till you gotta solve quadratics....and you have to put it into quadratic form :P

    anyways, here we go:

    (7n+3)5 + (11+4n)2

    #1 Distribution:

    you must distribute the 5 to the (7n+3) and the 2 to the (11+4n)

    for example, (7n+3)5 = (5*7n) + (5*3) which is 35n + 15.

    and (11+4n)2 which would be 8n+22.

    so you end up with 35n +15 + 8n + 22. then....

    #2 Simplify:

    combine like terms.

    e.g. 35n+8n=43n & 15+22 = 37.

    so you end up with something like 43n + 37.

    and thats all you have to do for just simplifying.

    for the second one {(6a+7)2+4a}, you should end up with 16a+14, again just distribute the 2 into (6a+7) and combine like terms.

    supposing thats all they want you to do is simplify it, thats all you gotta do. :) this is easy stuff...i like the easy stuff :D

    Source(s): um...like algebra and alg 2 classes...boy i wish i could go back to alg2, it was better than pre-cal is.... feel free to im me :)
  • 1 decade ago

    (7n + 3)5 + (11+ 4n)2

    1. Apply the Distributive Property to the 5 and 2 to get rid of the parenthesis.

    35n + 15 + 22 + 8n

    2. Combine your like terms and you are finished.

    43n + 37

    (6a + 7)2 + 4a

    1. Apply the Distributive Property to the 2 to get rid of the parenthesis.

    12a + 14 + 4a

    2. Combine your like terms and you are finished.

    16a + 14

  • 1 decade ago

    1.(7n+3)5+(11+4n)2

    (35n+15) + (22+8n)

    43n+37

    2. (6a+7)2+4a

    12a+14+4a

    16a+14

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  • 1 decade ago

    I won't give you the answers, but I will give you an example of one similar problem and work it out for you ^_^

    1) (4n+7)6+(10+8n)6 --Write the original equation

    >>4n+7*6+10+8n*6 --No like terms within parentesis, so remove them.

    >>4n+42+10+8n*6 --P E M/D A/S: Multiplication

    >>4n+42+10+52n --Multiply next set; it does not matter if there are differen variables when you multiply or divide

    >>6n+52 --Combine like terms

    >>6n+52 ----Final Answer---

    I hope I helped :)

  • 1 decade ago

    use distributive property

    1. (7n+3)5+(11+4n)2

    35n+15+22+8n

    43n+37

    2. (6a+7)2+4a

    12a+14+4a

    16a+14

  • 1 decade ago

    ( 7n+3)5+(11+4n)2

    so 7 times the n. then plus 3.. then.... times 5 plus 11+4 times n then times 2

  • Anonymous
    1 decade ago

    1. multiply 5 into the paranthesis and the 2 as well...then combine like terms

    35n+15+22+8n

    43n+37

    2. multiply the 2 in the parn...and combine like terms

    12a+14+4a

    16a+14

  • 1 decade ago

    1.

    multiply through by 5 and 2

    35n+15+22+8n

    group terms

    43n+37

    2.

    multiply through the left bit by 2

    12a+14 +4a

    group terms

    16a+14

  • Anonymous
    5 years ago

    1) w^(7*4)=w^28 (* multiplication) 2) (a^3*a^5)^4 = (a^(3+5))^4= (a^8)^4 = a^32 3) (6^5)^7 = 6^(5*7) = 6^35 4) a^3.a^6 = a^(3+6)= a^9 5) 3x^2 * 4x^5 = 12x^(2+5) = 12x^7 6) 2m^4n^2 · 3m^3n^2 = 6m^(4+3)n^(2+2) =6m^7n^4 7) 3x^2 + x^2=4x^2 8) -5y^3 + 3y^3 - 2y^2 = -2y^3 - 2y^2 9) 7x^2y + 2xy^2 - 3x^2y = 4x^2y + 2xy^2

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