5. Using the identity for difference of two squares, evaluate the following. (a) 18 x 22 (b) 51 x 49 (c) 101 x 99

Question

5. Using the identity for difference of two squares, evaluate the following.
(a) 18 x 22
(b) 51 x 49
(c) 101 x 99
1​

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4 weeks 2021-08-17T04:43:56+00:00 2 Answers 0 views 0

Answers ( )

  1. Charlotte
    0
    2021-08-17T04:45:22+00:00

    Answer:

    a… 396

    a… 396b…2499

    a… 396b…2499c…9999

    Step-by-step explanation:

    (a) 18 × 22

    =(20-2)(20+2)

    = (a-b)(a+b) = a^2 – b^2

    ={(20^2) -(2^2)}

    =400-4

    =396 Ans…

    (b) 51 × 49

    = (50+1)(50-1)

    ={(50^2)-(1^2)}

    =2500-1

    =2499

    (c) 101 × 99

    =(100+1)(100-1)

    ={(100^2)-(1^2)}

    =10000-1

    =9999

    I think you like it

    0
    2021-08-17T04:45:55+00:00

    Answer:

    Identity for all the questions,

    (x + y)(x - y) =  {x}^{2}  -  {y}^{2}

    a) \: 18 \times 20

    (20 - 2)(20 + 2)

     {20}^{2}  -  {2}^{2}

    400 - 4

    •°•°•°•°•°•°•°•°•°•°•°

    b) \: 51 \times 49

    (50 + 1)(50 - 1)

     {(50)}^{2}   -   {(1)}^{2}

    2500 - 1

    2499

    •°•°•°•°•°•°•°•°•°•°•°

    c) \: 101 \times 99

    (100 + 1)(100 - 1)

     {(100)}^{2}  -  {(1)}^{2}

    10000 - 1

    9999

    •°•°•°•°•°•°•°•°•°•°•°

    Step-by-step explanation:

    Hope it helps you out........

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