Math  /  Algebra

Question(2x2)(4x2+x)\left(2 x^{2}\right)-\left(-4 x^{2}+x\right)

Studdy Solution

STEP 1

1. We are given an expression involving polynomials.
2. The expression can be simplified by distributing the negative sign and combining like terms.

STEP 2

1. Distribute the negative sign across the terms in the second polynomial.
2. Combine like terms to simplify the expression.

STEP 3

Distribute the negative sign across the terms in the second polynomial:
(2x2)(4x2+x)=2x2+4x2x \left(2x^2\right) - \left(-4x^2 + x\right) = 2x^2 + 4x^2 - x

STEP 4

Combine like terms:
1. Combine the x2x^2 terms: 2x2+4x2=6x22x^2 + 4x^2 = 6x^2.
2. The linear term remains as x-x.

The simplified expression is:
6x2x 6x^2 - x

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