Evaluate using the identity a-b2-a2-2 a b-b2 -i 492- ii 9-82- iii 59 2- iv 198 2-

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Expansion of (x^2 - y^2)

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Question

Evaluate using the identity:

(i) (49)²; (ii) (9.8)²; (iii) (59)²; (iv) (198)².

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(49)^{2}

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

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

(609)^{2}

(725)^{2}

(34)^{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.

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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