Math, asked by pranjal31102007, 19 days ago

Factorise step by step (x² - 2x+3)(x² - 2x + 5) - 35​

Answers

Answered by manojkumarvsnhsin
1

Answer:

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1 A

1 B

1 C

1 D

1 E

1 F

2 A

2 B

2 C

2 D

2 E

2 F

2 G

Q. 2 D

3.8

( 14 Votes )

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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