Question

Factorise : 6xsquare +17x +5

Answer 1

Given :-

• 6x² + 17x + 5

Solution :-

★ Splitting middle term

→ 6x² + 17x + 5

→ 6x² + 15x + 2x + 5

→ 3x(2x + 5) + 1(2x + 5)

→ (2x + 5)(3x + 1)

Additional Information

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

Answer 2

$\sf{\red{ Answer:-}}$

$\sf~ {6x}^{2} + 17x + 5$

$\sf~ {6x}^{2} + 15x + 2x + 5$

$\sf~3x(2x + 5) + 1(2x + 5)$

$\sf~(3x + 1)(2x + 5)$

Your answer = (3x + 1)(2x + 5)