Multiple Choice Questions on If x2 2 2x then the value of x4 minus x3 x2 2 will be ........ for SSC CHSL Preparation

Algebra

Quantitative Aptitude (CHSL)

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    If x2+2=2x then the value of x4−x3+x2+2 will be,

    0

    Correct Answer

    1

    Incorrect Answer

    -1

    Incorrect Answer

    2

    Incorrect Answer
    Explanation:

    The very first step that we will take is to transpose the equation 1 to have a numerical value on the right of the equality sign. We intend to factor the target expression with this transposed expression, x2−2x=−2.
    Factoring this way we get expression,
    E=x2(x2−2x)+2x3−x3+2x=x3−2x2+2x.
    We have straightaway simplified the tail by using x2+2=2x for substitution.
    So, E=x(x2−2x)+2x=−2x+2x=0


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