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lizz123

  • one year ago

Medal @freckles Perform the operations using adding and subtracting polynomials.

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  1. lizz123
    • one year ago
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    \[7x - [2\left( x ^{2} -z\right) + 4x ^{2} -7z] + 6z ^{2}\]

  2. freckles
    • one year ago
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    ok so let's do any distributing needed a(b+c)=ab+ac

  3. freckles
    • one year ago
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    let's begin with the 2(x^2-z) thing

  4. freckles
    • one year ago
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    can apply the distributive property there

  5. freckles
    • one year ago
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    \[2(x^2-z) \\ \text{ here we are just going \to multiply the two terms inside the ( ) \by 2 } \\ 2(x^2)-2(z)=2x^2-2z\]

  6. freckles
    • one year ago
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    so now you have \[7x-[2x^2-2z+4x^2-7z]+6z^2\]

  7. freckles
    • one year ago
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    you have one more area to apply distributive property

  8. freckles
    • one year ago
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    do you see the - in front of the [ ]?

  9. freckles
    • one year ago
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    drop the [ ] and just change the sign to each term inside the [ ] this is the same as multiplying by -1

  10. freckles
    • one year ago
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    I will let you try this part

  11. lizz123
    • one year ago
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    So, \[7x - [ (2x^{2} -2z)+4x ^{2} -7z] +6\]

  12. lizz123
    • one year ago
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    \[7x + [ -2x ^{2}+2z -4x ^{2}+7z]+6\]

  13. freckles
    • one year ago
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    yep

  14. freckles
    • one year ago
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    now combine like terms

  15. freckles
    • one year ago
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    \[+7x\\ -2x^2-4x^2=? \\ 2z+7z=? \\+ 6\]

  16. lizz123
    • one year ago
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    |dw:1434404812374:dw|

  17. freckles
    • one year ago
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    |dw:1434404949777:dw| that is the only term I have a problem with

  18. lizz123
    • one year ago
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    |dw:1434404992422:dw|

  19. freckles
    • one year ago
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    but notice I also circled the + in front of the 4x^2

  20. freckles
    • one year ago
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    that should be a -2x^2-4x^2 which is -6x^2

  21. lizz123
    • one year ago
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    how come

  22. freckles
    • one year ago
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    how come there is a - in front of 4x^2?

  23. freckles
    • one year ago
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    or how come -2-4 is -6?

  24. freckles
    • one year ago
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    earlier you had written this: \[7x + [ -2x ^{2}+2z -4x ^{2}+7z]+6\] there is a - in front of 2x^2 and a - in front of 4x^2

  25. freckles
    • one year ago
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    -(2+4)=-(6)=-6

  26. freckles
    • one year ago
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    so -2x^2-4x^2=-6x^2

  27. lizz123
    • one year ago
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    oh yeah

  28. lizz123
    • one year ago
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    i get it. Thank you very much. I really appreciate it.

  29. freckles
    • one year ago
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    |dw:1434405199854:dw|

  30. freckles
    • one year ago
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    good job though on the other terms :)

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