WEBVTT

1
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Here is the problem: (2x minus 5) squared minus (negative 2x plus 3).

2
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Expand and simplify the polynomial into standard form.

3
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Distribute every product and power. Multiply each term of one factor by each term of the other; expand powers by repeated multiplication.

4
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Combine like terms and order by degree.

5
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Read off the key features. degree 2, leading coefficient 4, constant term 22.

6
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So the answer is 4x squared minus 18x plus 22.

7
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In standard form the polynomial is 4x squared minus 18x plus 22 (degree 2, leading coefficient 4, constant term 22).

8
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Spot check at x equals 2: original and expanded form both give 2.