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Multiple Choice Questions

If x2 2 2x then the value of x4 minus x3 x2 2 will be ........

Quantitative Aptitude (CUET) Algebra

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

-1

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