Question

solve this problem factorise this sum​

Answer 1

Given

( 2x ² + 1 )²

Factories it.

Solution

= (2x² + 1)²

Applying identity (a + b)² = a² + b² + 2ab

= (2x²)² + (1)² + 2 × 2x² × 1

= 4x⁴ + 1 + 4x²

Important identities

• (a+b)² = a² + b² + 2ab
• (a-b)² = a² + b² - 2ab
• (a+b)³ = a³ + b³ + 3ab(a+b)
• (a-b)³ = a³ - b³ - 3ab(a-b)
• a² - b² = (a+b)(a-b)
• a³ - b³ = (a-b)(a²+ab+b²)
• a³ + b³ = (a+b)(a² -ab +b²)

Answer 2

GIVEN

( 2x² + 1 )²

SOLUTION

Applying identity to solve this question

(a + b)² = a² + b² + 2ab

= (2x² + 1)²

= (2x²)² + (1)² + 2*2x²*1

= 4x⁴ + 1 + 4x²