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Algebraic Identities

Question

Using the identity $(a - b)^{2} = a^{2} - 2 a b + b^{2}$ compute $(x - 6)^{2}$

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Solution

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Using the identity: $(a - b)^{2}$ = $a^{2} - 2 a b + b^{2}$
We have $(x - 6)^{2}$ = $x^{2} - 2 (x) (6) + 6^{2}$
The answer is $x^{2} - 12 x + 36$

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Similar Questions

Q1

Using the identity

(a - b)^{2} = a^{2} - 2 a b + b^{2}

compute

(x - 6)^{2}

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Q2

Using the identity

(a - b)^{2} = a^{2} - 2 a b + b^{2}

,compute

(5 a - 4 b)^{2}

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Q3

Using the identity

(a + b)^{2} = a^{2} + 2 a b + b^{2}

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(a + 6)^{2}

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Q4

Evaluate

(59)^{2}

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(a - b)^{2} = a^{2} - 2 a b + b^{2}

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Q5

Use the identity to compute:

(i) (x − 6)²; (ii) (3x − 5y)²; (iii) (5a − 4b)²; (iv) (p² − q²)².

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