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    Write the expanded form of (9a+4b+5c)2(9a + 4b + 5c)^2(9a+4b+5c)2​​
    Question

    Write the expanded form of (9a+4b+5c)2(9a + 4b + 5c)^2​​

    A.

    81a2+16b2+25c2+72ab+35bc+90ac 81a^2 + 16b^2 + 25c^2 + 72ab + 35bc + 90ac​​

    B.

    81a2+16b2+25c2+72ab+40bc+100ac81a^2 + 16b^2 + 25c^2 + 72ab + 40bc + 100ac​​

    C.

    81a2+16b2+25c2+72ab+40bc+90ac 81a^2 + 16b^2 + 25c^2 + 72ab + 40bc + 90ac​​

    D.

    81a2+16b2+25c2+76ab+40bc+90ac 81a^2 + 16b^2 + 25c^2 + 76ab + 40bc + 90ac​​

    Correct option is C

    Given: 

    (9a+4b+5c)2(9a + 4b + 5c)^2 

    Formula Used: 

    (a+b+c)2=a2+b2+c2+2ab+2bc+2ac(a + b+c)^2 = a^2 + b^2 +c^2 + 2ab+2bc+2ac  

    Solution: 

    (9a+4b+5c)2 =(9a)2+(4b)2+(5c)2+2×9a×4b+2×4b×5c+2×5c×9a =81a2+16b2+25c2+72ab+40bc+90ac(9a + 4b + 5c)^2 \\ \ \\ = (9a)^2 + (4b)^2 +(5c)^2 + 2\times 9a \times 4b +2\times 4b \times5c +2\times 5c \times 9a \\ \ \\ = 81a^2+16b^2+25c^2+72ab+40bc+90ac​​

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