Using distributive law, find the square of a) 47 b) 56

Question

Using distributive law, find the square of a) 47 b) 56

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Kylie 4 weeks 2021-08-19T05:16:28+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-19T05:18:01+00:00

    Answer:

    i)2209

    ii)3136

    Step-by-step explanation:

    (a+b)² = a² + 2ab + b²

    i)47² = (40+7)²

           = 40² + 2(40)(7) + 7²

           = 1600 + 560 + 49

           = 2209

    ii)56²= (50+6)²

            = 50² + 2(50)(6) + 6²

            = 2500 + 600 +36

            = 3136

    0
    2021-08-19T05:18:07+00:00

    Step-by-step explanation:

    a. Identity Used »

    (a + b)² = a² + 2ab + b²

    Solution »

    Square of 43

    = 43²

    = (40 + 3)²

    = (40)² + 2(40) (3) + (3)²

    = 1600 + 240 + 9

    = 1849

    Hence, the Square of 43 is 1849.

    Here,

    a² = (40)²

    b² = (3)²

    b. 53 x 53 = 1749

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