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marmar3000

  • 2 years ago

Simplify (4x − 5)^2.

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  1. FaisalAyaz
    • 2 years ago
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    (a+b)^2=a^2 + b^2 + 2ab

  2. satellite73
    • 2 years ago
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    does that mean "multiply"? start with \[(4x+5)(4x+5)\] and do four multiplications

  3. FaisalAyaz
    • 2 years ago
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    (a-b)^2 = a^2 + b^2 -2ab

  4. satellite73
    • 2 years ago
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    oops rather \[(4x-5)(4x-5)\]

  5. marmar3000
    • 2 years ago
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    thankss(:

  6. satellite73
    • 2 years ago
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    do four multiplications, combine like terms, and then tell your teacher (gently) that there is nothing "simpler" about your result than there is in \((4x-5)^2\)

  7. marmar3000
    • 2 years ago
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    is it 16x+25?

  8. satellite73
    • 2 years ago
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    oh no! careful here

  9. satellite73
    • 2 years ago
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    four multiplications i will write them out

  10. satellite73
    • 2 years ago
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    \[(4x-5)(4x-5)=4x\times 4x-5\times 4x-5\times 4x+5\times 5\]

  11. FaisalAyaz
    • 2 years ago
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    (4x-5)^2 = 16x^2 -40x +25.

  12. marmar3000
    • 2 years ago
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    16x-40x+25?

  13. satellite73
    • 2 years ago
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    then \(4x\times 4x=16x^2\) \(-5\times 4x-5\times 4x=-20x-20x=-40x\) \((-5)\times (-5)=25\) final answer is \[16x^2-40x+25\]

  14. FaisalAyaz
    • 2 years ago
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    now factorize it or solve by formula \[x=-b \pm \sqrt{b^{2}-4ac}/2a\]

  15. FaisalAyaz
    • 2 years ago
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    no marmar it's 16x^2 - 40x +25. not 16x

  16. FaisalAyaz
    • 2 years ago
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    now use quadratic formula or apply factorization method.it's up to u

  17. FaisalAyaz
    • 2 years ago
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    U got it marmar? just use formula (a-b)^2 = a^2 + b^2 -2ab. then find x by factorization or quadratic formula.Simple!

  18. marmar3000
    • 2 years ago
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    yea, thanks guys!

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