Factorize the following expressions: i. x^2 - 1/x^2 ii. a^2 b - ab iii. 4x^2 y - 6x^2 iv. 1/2y^2 - 8z^2 v. 2x^2 - 8y^2

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Factorize the following expressions and write them in the product form. i. 201a^3b^2 ii. 91xyt^2 iii. 24a^2b^2 iv. tr^2s^3

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Factorize the following expressions: i. p^2 – q^2 ii. 4x^2 – 25y^2 iii. y^2 – 4 iv. P^2 - 1/25 v. 9x^2 - 1/16y^2

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Use the formula to find the values: i. 502 × 498 ii. 97 × 103 iii. 54 × 46 iv. 98 × 102

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In the right-angled ∆LMN, ∠M = 90°. If l(LM) = 12 cm and l(LN) = 20 cm, find the length of seg MN.

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Use the formula to multiply the following: i. (x + y)(x – y) ii. (3x – 5)(3x + 5) iii. (a + 6)(a – 6 iv. (x/5 + 6) (x/5 - 6)

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In the right-angled ∆PQR, ∠P = 90°. If l(PQ) = 24 cm and l(PR) = 10 cm, find the length of seg QR.

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Use the given values to verify the formulae for squares of binomials. i. a = -7, b = 8 ii. a = 11,b = 3 iii. a = 2.5,b = 1.2

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In the figures below, find the value of ‘x’.

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Use an expansion formula to find the values of: i. (997)^2 ii. (102)^2 iii. (97)^2 iv. (1005)^2

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Given alongside is the diagram of a playground. It shows the length of its sides. Find the perimeter of the playground.

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In a circle with centre O, the measure of a minor arc is 110°. What is the measure of the major arc PYQ?

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