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Find the value of (M2-n2M)/m If M=4 and n=6.

Mathematics

ScanSolve AI Answer

Answer

−12\mathbf{-12}

Step-by-step solution

4 steps

Ili kutatua tatizo hili, tutabadilisha thamani za MM na NN kwenye usemi uliotolewa na kisha kurahisisha.

  1. Andika usemi uliotolewa na ubadilishe thamani za M=4M=4 na N=6N=6.

    Usemi ni: M2N−N2MM\frac{M^2 N - N^2 M}{M}
    Badilisha M=4M=4 na N=6N=6:

    (4)2×6−(6)2×44\frac{(4)^2 \times 6 - (6)^2 \times 4}{4}
  2. Hesabu vipeo (squares) na ufanye kuzidisha kwenye namba (numerator).

    16×6−36×44\frac{16 \times 6 - 36 \times 4}{4}

    Fanya kuzidisha:

    16×6=9616 \times 6 = 96 36×4=14436 \times 4 = 144

    Sasa usemi unakuwa:

    96−1444\frac{96 - 144}{4}
  3. Fanya kutoa kwenye namba.

    96−144=−4896 - 144 = -48

    Sasa usemi unakuwa:

    −484\frac{-48}{4}
  4. Gawanya namba kwa kigawanyo (denominator).

    −484=−12\frac{-48}{4} = -12

    Jibu la mwisho ni:

    −12\mathbf{-12}
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