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Use a Sum and Pairwise Products in a Cubic Identity

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Exploring Algebraic Identities · Chapter challenge problems · 3:38

You'll learn: Express the second factor using the square-of-a-sum identity.

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Use a Sum and Pairwise Products in a Cubic Identity

3:38

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Use a Sum and Pairwise Products in a Cubic Identity

You'll learn: Express the second factor using the square-of-a-sum identity.

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Chapter challenge problems

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Two Given Linear Factors Constrain a Quadratic
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Two Given Linear Factors Constrain a Quadratic
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Why Is n³−n Always Divisible by Six?
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Why Is n³−n Always Divisible by Six?
You'll learn: Factor into three consecutive integers and reason about divisibility.
Evaluate Cubic Expressions from a Given Relationship
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Evaluate Cubic Expressions from a Given Relationship
You'll learn: Use a three-variable cubic identity to avoid finding individual variable values.

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Chance, randomness and the probability scale

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Probability Measures How Likely Something Is
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Probability Measures How Likely Something Is
You'll learn: Introduce uncertainty and likelihood using the chapter’s everyday questions.
Know What Could Happen Without Knowing What Will Happen
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Know What Could Happen Without Knowing What Will Happen
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Why Can a Coin Toss Be a Fair Way to Decide?
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Why Can a Coin Toss Be a Fair Way to Decide?
You'll learn: Connect fairness to a symmetric coin and an unbiased random toss.
Read the Probability Scale from Zero to One
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Read the Probability Scale from Zero to One
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Fractions, Decimals and Percentages Describe the Same Chance
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You'll learn: Rank the chapter’s everyday events and explain the assumptions behind each judgement.

Next topic

Experimental and theoretical probability

6

Estimate Probability from What Actually Happened
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Estimate Probability from What Actually Happened
You'll learn: Define experimental probability as event frequency divided by trials.
Run a Coin Experiment and Record the Results
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Run a Coin Experiment and Record the Results
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A Paper Cup Has Three Outcomes—Are They Equally Likely?
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You'll learn: Use equally likely physical positions when a letter repeats.
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You'll learn: Test whether equally likely outcomes are justified.