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Choose the correct simplification of (2x3 + x2 − 4x) − (9x3 − 3x2).


11x3 − 2x2 − 4x

−7x3 + 4x2 − 4x

−2x3 − 2x2 − 4x

−7x3 − 4x2 − 4x

Verified Answer :

texaschic101

2x^3 + x^2 - 4x - (9x^3 - 3x^2) =
2x^3 + x^2 - 4x - 9x^3 + 3x^2 =
-7x^3 + 4x^2 - 4x <===

Answer:

option (2) is correct.

\((2x^3+x^2-4x)-(9x^3-3x^2)=-7x^3+4x^2-4x\)

Step-by-step explanation:

Given  expression \((2x^3+x^2-4x)-(9x^3-3x^2)\)

We have to choose the correct option that correctly simplify the given expression.

       

Consider the given expression \((2x^3+x^2-4x)-(9x^3-3x^2)\)

Opening the brackets , we get,

Applying plus-minus rule, \(-(-a)=+a\)

\((2x^3+x^2-4x)-(9x^3-3x^2)=2x^3+x^2-4x-9x^3+3x^2\)

LIKE TERMS are terms having same variable with same degree.

Adding like term , we get,

\((2x^3+x^2-4x)-(9x^3-3x^2)=(2-9)x^3+(3+1)x^2-4x\)

\((2x^3+x^2-4x)-(9x^3-3x^2)=-7x^3+4x^2-4x\)

Thus, option (2) is correct.

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