Factorise step by step (x² - 2x+3)(x² - 2x + 5) - 35
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Factorize the fol
Class 9th
MHB - Math Part-I
3. Polynomials
Answer
(x2 – 2x + 3) (x2 – 2x + 5) – 35
Put (x2 – 2x) = a
⟹ (a + 3) (a + 5) – 35
⟹ (a2 + 5a + 3a + 15) – 35
⟹ a2 + 8a + 15 – 35
⟹ a2 + 8a – 20
⟹ a2 + 10a – 2a – 20
⟹ a (a + 10) – 2 (a + 10)
⟹ (a – 2) (a + 10)
⟹ But a = (x2 – 2x)
⟹ (x2 – 2x) + 10) ((x2 – 2x) – 2)
⟹ (x2 – 2x + 10) (x2 – 2x – 2)
Therefore, the factorized form = (x2 – 2x + 10) (x2 – 2x – 2)
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