factorise 16p^2-q^2+12q-36
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Hey Mate!!
16p² - q² + 12q - 36
⇒ 16p² - (q² - 12q + 36)
⇒ 16p² - [q² - 2(6)(q) + 6²]
⇒ 16p² - (q - 6)² ... [∵ (a - b)² = a² -2ab + b²]
⇒ (16p + q - 6)(16p - q + 6) ... [∵ a² - b² = (a + b)(a - b)]
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