Question

Factorize the polymial
$( {a }^{2} - 25)$
​

Answer 1

Answer:

Step-by-step explanation:

a^2-25 = 0

Use a^2-b^2 =(a+b)( a-b)

(a+5)(a-5) = 0

So , a= +5or -5

Answer 2

Answer:

(a + 5)(a - 5)

Step-by-step explanation:

a² - 25

⇒ a² - (5)²

⇒ (a + 5)(a - 5)

Answer⇒ (a + 5)(a - 5)

More things to know:-

• (a + b)² = a² + 2ab + b²

• (a - b)² = a² - 2ab + b²

• a² - b² = (a + b)(a - b)

• (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2 ca

                           = a² + b² + c² + 2(ab + bc + ca)  

• (a + b)³ = a³ + b³ + 3ab(a + b)

                     =  a³ + b³ + 3a²b + 3ab²  

• (a - b)³ = a³ - b³ - 3ab(a - b)                    

                    = a³ - b³ - 3a²b + 3ab²    

• a³ + b³ = (a + b)(a² - ab + b²)

• a³ - b³ = (a - b)(a² + ab + b²)

• a³+b³ +c³- 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca)

• (x + p)(x + q) = x² + (p + q)x + pq

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