Question

factories
a^12 x^14 - a^14 x^12
please share the working also ​

Answer 1

Answer:

• Required answer is a¹².x¹² (x+a) (x-a)

Step-by-step explanation:

According to the Question

(i) a¹².x¹⁴ - a¹⁴.x¹²

we have to factories this question

Firstly we will take common

→ a¹².x¹² ( x²-a²)

Now, splitting the equation (x²-a²) by using this identity

• (a²-b²) = (a+b) (a-b)

→ a¹².x¹² (x+a) (x-a)

• Hence, the required answer is a¹².x¹²(x+a)(x-a)

Additional Information !!

Some More identities!!

• (a + b)² = a² + b² +2ab

• ( a - b )² = a² + b² -2ab

• ( a² - b² ) = ( a - b ) ( a + b )

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

• (a + b)³ = a³ + b³ + 3ab(a+b)

• (a-b)³ = a³ - b³ -3ab(a-b)

• ( a³ + b³) = (a+b) (a²-ab +b²)

• (a³ - b³) = (a -b) (a² + ab + b²)