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Evaluate the expression a2 - 2ab + b2 using a=1 and b=2.

Mathematics

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Step-by-step solution

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Hapa kuna suluhisho la swali la 4(i):

Swali la 4(i) linataka tutathmini usemi a2−2ab+b2a^2 - 2ab + b^2 tukitumia a=1a=1 na b=2b=2.

  1. Badilisha thamani za aa na bb kwenye usemi.

    a2−2ab+b2=(1)2−2(1)(2)+(2)2a^2 - 2ab + b^2 = (1)^2 - 2(1)(2) + (2)^2

  2. Kokotoa vipeo na kuzidisha.

    12=11^2 = 1 2(1)(2)=42(1)(2) = 4 22=42^2 = 4

  3. Fanya hesabu ya kujumlisha na kutoa.

    1−4+4=11 - 4 + 4 = 1

    Jibu la mwisho ni:

    11
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