Question

Find the product (x+7y) (x-7y)

Answer 1

Answer:

x²-49y²

Step-by-step explanation:

 (x+7y) (x-7y)

=(x)²-(7y)²

= x²-49y²

  Identity used  

(a+b) (a-b) = a²-b²

Answer 2

We know

(a²-b²)=(a+b)(a-b)

Given Question (x+7y)(x-7y)

Here we can

Suppose a=x

b=7y

Then

(x²-(7y)²)=(x+7y)(x-7y)

Then

x²-(7y)²=x²-49y²

EXTRA INFO

Now How can a²-b² can be (a+b)(a-b)

Here Let a=3

b=2

Write in a²-b²

3²-2²=5

Now 5 can be written as =(3+2)(3-2)=5×1=5

So,

We Know a²-b²=(a+b)(a-b)

$\boxed{\mathbf{\huge{{x}^{2}+{49y}^{2}}}}$