Question

factorise and divide:- 15(y-3)(y^2 - 16) / 5(y^2-y-12)

Answer 1

Step-by-step explanation:

$\frac{15(y - 3)( {y}^{2} - 16) }{5( {y}^{2} - y - 12) } \\ \\ = \frac{15(y - 3)(( {y)}^{2} - {(4)}^{2} ) }{5( {y}^{2} - 4y + 3y - 12) } \\ \\ = \frac{15(y - 3)(y + 4)(y - 4)}{5(y(y - 4) + 3(y - 4))} \\ \\ = \frac{15(y - 3)(y + 4)(y - 4)}{5(y - 4)(y + 3)} \\ \\ = \frac{3(y - 3)(y + 4)}{(y + 3)}$

Concept Used:

• a² - b² = (a + b)(a - b)
• Middle term factorization

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