Math, asked by Anonymous, 1 year ago

Factorise ➡️

(a² - 2a)² - 23(a² - 2a) + 120

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Answers

Answered by Anonymous
7

✨ɦεყα ∂εαɾ✨

Refer the attachment for the solution.. ^-^

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Answered by Anonymous
3

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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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