Question

Multiply (1002×1003) by using identity...

Irrevant answers will be reported...​

Answer 1

Answer:

1005006

Step-by-step explanation:

1002 × 1003

= (1000+2)(1000+3)

let x = 1000, a = 2 and b = 3

then, (x+a)(x+b) = x²+(a+b)x+ab

so, (1000+2)(1000+3)

= (1000)²+(2+3)×1000 + 2×3

= 1000000+5000+6

= 1005006

Answer 2

solution ⤵️

there are 4 main identities to find product of two numbers easily

they are (a+b)²

(a-b)²

(x+a)(x+b)

(a²-b²)

(1002)(1003)

(1000+2)(1000+3)

=(1000)²+(3+2)1000+6

=1000000+5000+6

=10050006

here we used (x+a)(x+b)=x²+ax+bx+ab

here 1000² is x²,2000 is ax and 3000 is bx and AB=6