Question

evaluate the following products without actual multiplication. 501*501
​

Answer 1

Answer:

Yes, we can use the algebraic identity

Step-by-step explanation:

SO,

501 × 501

= ( 500 + 1 )( 500 + 1 )

= ( 500 + 1 )²

= ( 500 )² + 2 × 500 × 1 + 1²

= 250000 + 1000 + 1

= 251001

Therefore ,

501 × 501 = 251001

SO THE ANSWER IS 251001

Answer 2

Answer is 251001

Step-by-step explanation:

We know 501×501 =(500+1)(500+1)

=(500+1)

2

We know suitable identity is (x+y)

2

=x

2

+2xy+y

2

Therefore, the value of (500+1)

2

is

=(500)

2

+2(500)(1)+(1)

2

=250000+1000+1

=251001

I HOPE IT WILL HELP YOU MUCH

Thank u