Question

FACTORISE 39n³(50²-98)÷26n²(5n+7)

Answer 1

Step-by-step explanation:

$39n {}^{ {}{3} } (50n {}^{2} - 98) \\ \\ = 39n {}^{3} \times 2(25n {}^{2} - 49) \\ \\ = 39n {}^{3} \times 2 \: ((5n) {}^{2} - (7) {}^{2} ) \\ \\ = 39n {}^{3} \times 2 \times (5n + 7)(5n - 7) \\ \\ \frac{39n {}^{3} (50n {}^{2} - 98) }{26n { {}^{} }^{2} (5n + 7)} \\ \\ = \frac{39n {}^{3} \times 2 \times (5n + 7)(5n - 7)}{26n {}^{2} (5n + 7)} \\ \\ = 3n(5n - 7)$