solve this problem factorise this sum
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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)
Answered by
1
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
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