Question

factorize a³-125-2a+10​

Answer 1

Answer:

hope it helps you.....

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Answer 2

Required Answer:-

Given to Factorise:

• a³ - 125 - 2a + 10

Solution:

We have,

a³ - 125 - 2a + 10

= (a)³ - (5)³ - 2(a - 5)

= (a - 5)(a² + 5a + 25) - 2(a - 5)

Take (a - 5) as common,

= (a - 5)[a² + 5a + 25 - 2]

= (a - 5)(a² + 5a + 23)

Hence, the factorised form of the polynomial is (a - 5)(a² + 5a + 23)

Identity Used:

• x³ - y³ = (x - y)(x² + xy + y²)

More Identities:

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