Question

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Answer 1

Step-by-step explanation:

i) 36x² - 1

(6x)² - 1² {(a²-b² = (a+b)(a-b)}

(6x + 1)(6x - 1) ans.

ii) a²b² - 9

(ab)² - 3² {(a²-b² = (a+b)(a-b)}

(ab + 3)(ab - 3) ans.

iii) 49b² - a²c²

(7b)² - (ac)² {(a²-b² = (a+b)(a-b)}

(7b + ac)(7b - ac) ans.

iv) 16a² - 9b²

4a² - 3b² {(a²-b² = (a+b)(a-b)}

(4a + 3b)(4a - 3b) ans.

v) 81 - 4x²

9² - 2x² {(a²-b² = (a+b)(a-b)}

(9 + 2x)(9 - 2x) ans.

vi) x² - 1/x² {(a²-b² = (a+b)(a-b)}

(x + 1/x)(x - 1/x) ans.