Question

Without finding the square eavulate each the following 13power2-12power2

Answer 1

Answer:

25

Step-by-step explanation:

To evaluate,

${13}^{2} - {12}^{2}$

We know that,

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

Here, we have,

• x = 13
• y = 12

Therefore, we will get,

$= (13 + 12)(13 - 12) \\ \\ = 25 \times 1 \\ \\ = 25$

Hence, the required value is 25.

Some more identities :-

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