Algebra-1

To expand the expression (–1/2 + 2x)(x + 2) into a polynomial in standard form, we need to multiply each term of the first expression by each term of the second expression and then combine like terms.

(–1/2 + 2x)(x + 2)

Expanding the expression:

= (–1/2)(x) + (–1/2)(2) + (2x)(x) + (2x)(2)

= –1/2x – 1 + 2x² + 4x

Now, let's combine like terms:

= –1/2x + 2x² + (–1 + 4x)

= 2x² + (4x – 1/2x) – 1

Simplifying further:

= 2x² + 3.5x – 1

Therefore, the expanded expression using superscripts is:

2x²

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