WEBVTT

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Here is the problem: 4(2x minus 3) minus 3(x minus 5).

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Simplify the polynomial expression in x.

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Read the expression.

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Distribute (multiply out every product). Each term in one factor multiplies each term in the other: a(b plus c) equals ab plus ac.

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Result after multiplying out.

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Combine like terms. x: 8 minus 3 equals 5; constants: negative 12 plus 15 equals 3. Like terms have identical variables and exponents, so only their coefficients are added.

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Write the result in standard form. Terms are ordered by descending total degree.

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So the answer is 5x plus 3.

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After expanding and combining like terms the expression is 5x plus 3, a polynomial of degree 1 with 2 terms.

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Spot check at x equals 0.73: original 6.65, simplified 6.65, which checks out.