Evaluate using the identity a-b2-a2-2 a b-b2 -i 342- ii 10-22- iii 532- iv 41 2-

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Algebraic Identities

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Question

Evaluate using the identity :

(i) (34)²; (ii) (10.2)²; (iii) (53)²; (iv) (41)².

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(34)^{2}

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

(198)^{2}

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

Use the identity to compute:

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

(49)^{2}

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

Using the identity, simplify the following:

(i) (a + 6)², (ii) (3x + 2y)²; (iii) (2p + 3q)²; (iv) (x² + 5)².

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