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Build the Square of a Sum from Four Pieces

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Exploring Algebraic Identities · Understanding and proving identities · 3:13

You'll learn: Partition a square of side a+b into a², b² and two ab rectangles.

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Build the Square of a Sum from Four Pieces

3:13

Playing

Build the Square of a Sum from Four Pieces

You'll learn: Partition a square of side a+b into a², b² and two ab rectangles.

Now playing

Same topic

Understanding and proving identities

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Three Consecutive Squares Always Give Two
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An Identity Is an Equation True for Every Allowed Value
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Why the Square Identity Also Works for Negative Numbers
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Why the Square Identity Also Works for Negative Numbers
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When Is the Square of a Sum Bigger Than the Sum of Squares?
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Square a Binomial with Coefficients and Fractions
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Square a Binomial with Coefficients and Fractions
You'll learn: Identify the complete expressions playing the roles of a and b and expand correctly.
Use Nearby Round Numbers to Calculate Squares
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Use Nearby Round Numbers to Calculate Squares
You'll learn: Choose a convenient additive split and evaluate with (a+b)².

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Perfect-square factorisation

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Read a Perfect Square Backwards
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Read a Perfect Square Backwards
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Take Out a Common Factor Before Looking for a Square
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Take Out a Common Factor Before Looking for a Square
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Derive the Square of a Difference by Substitution
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See the Square of a Difference as an Area
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Square Numbers Just Below a Round Number
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Three-term squares and difference of squares

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Square Three Terms by Grouping Two of Them
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Square Three Terms by Grouping Two of Them
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Find All Nine Regions in a Three-Part Square
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Expand and Factor Three-Term Squares with Signs
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