Question

What should be subtracted from x^3-2x^2+4x+1 to get 1

Answer 1

Answer:

This depends solely on the value of x, but can be simplified to y=x3−2x2+4x

Step-by-step explanation:

Without x, it is impossible to find the answer, but it can be simplified to:

x∧3−2x∧2+4x+1−y=1

Step 1: Add -x^3 to both sides.

x3−2x2+4∧x−y+1+−x3=1+−x∧3

−2x∧2+4x−y+1=−x∧3+1

Add 2x^2 to both sides.

−2x∧2+4x−y+1+2x2=−x3+1+2x∧2

4x−y+1=−x∧3+2x∧2+1

Add -4x to both sides.

4x−y+1+−4x=−x∧3+2x∧2+1+−4x

−y+1=−x∧3+2x∧2−4x+1

Add -1 to both sides.

−y+1+−1=−x3+2x2−4x+1+−1

−y=−x∧3+2x∧2−4x

Divide both sides by -1.

y=x3−2x2+4x

Answer 2

Concept: Subtraction are taken with same variables with same power coefficients. In other words, like terms are subtracted. Reversing an each term which have been subtracting.

Find: What should be subtracted from x^3-2x^2+4x+1 to get 1.

Solution: We should subtract $(x^{3} -2x^{2} +4x)$ from $x^{3} -2x^{2} +4x+1$. so we get 1.

=$x^{3}-2x^{2} +4x+1$$-(x^{3} -2x^{2} +4x)$

=$x^{3} -2x^{2} +4x+1-x^{3}+2x^{2} -4x$

=$x^{3}-x^{3}-2x^{2} +2x^{2} +4x-4x+1$

=1

Final answer: $-(x^{3} -2x^{2} +4x)$

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