Factorise ➡️
(a² - 2a)² - 23(a² - 2a) + 120
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✨ɦεყα ∂εαɾ✨
Refer the attachment for the solution.. ^-^
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P(a) = (a² - 2 a)² - 23 (a² - 2 a) + 120
= x² - 23 x + 120
x = a² - 2 a
→120 = 15 * 8
→15 + 8 = 23
then x² - 15 x - 8 x + 120
(x - 15) x - 8 (x - 15)
(x - 15) ( x - 8)
so P(a) = ( a² - 2a -15) (a² - 2a - 8)
= (a - 5) (a + 3) (a - 4) (a + 2)
by factorizing the two factors.
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