Question

(x² - 1)2 + 8x (x² +1) + 19x2​

Answer 1

Answer:

2ghctgfxgjhhgfxcffdxx

Answer 2

Answer

(x² + 3x + 1)(x² + 5x + 1)

Step-by-step explanation:

Given Equation is (x² - 1)² + 8x(x² + 1) + 19x²

⇒ x⁴ + 1 - 2x² + 8x³ + 8x + 19x²

⇒ x⁴ + 8x³ + 17x² + 8x + 1

⇒ x⁴ + 5x³ + 3x³ + 15x² + 2x² + 5x + 3x + 1

⇒ x⁴ + 5x³ + 3x³ + 15x² + x² + x² + 5x + 3x + 1

On rearranging the terms,we get

⇒ x⁴ + 5x³ + x² + 3x³ + 15x² + 3x + x² + 5x + 1

⇒ x²(x² + 5x + 1) + 3x(x² + 5x + 1) + 1(x² + 5x + 1)

⇒ (x² + 3x + 1)(x² + 5x + 1)