Question

factorise 2 y square + 3 Y + 1​

Answer 1

✦ Given ✦

2y² + 3y + 1

Factories it

✦ Solution ✦

✞ Solve this by splitting middle term

→ 2y² + 3y + 1

→ 2y² + 2y + y + 1

→ 2y(y + 1)+1(y + 1)

→ (y + 1)(2y + 1)

✦ Some 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)