Question

by using the third identity find product of (5x-2) (5x+2)​

Answer 1

Answer:

(a+b) (a-b)

(5x²)-(2²)=25x²-4

Answer 2

Answer:

$\large\boxed{\sf{25{x}^{2}-4}}$

Step-by-step explanation:

To find the product of (5x-2)(5x+2)

It has been said that we have to find the Product by using third identity.

Now, we know that, third identity is,

• $(x + y)(x - y) = {x}^{2} - {y}^{2}$

Clearly, it's in the form of (x+y)(x-y)

Here, we have,

• x = 5x
• y = 2

Substituting the values, we get,

$= > (5x - 2)(5x + 2) = {(5x)}^{2} - {(2)}^{2} \\ \\ = > (5x - 2)(5x + 2) = 25 {x}^{2} - 4$

Hence, the required answer is $25{x}^{2}-4$

Some more identities :-

• ${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$
• ${(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2}$
• ${(x + y)}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)$
• ${(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x -y)$