Question

2. Find the product of the following using identity (a - b)² = a² - 2ab + b². (p²- 2q²)²​

Answer 1

Answer:

(i) (609)

2

=(600+9)

2

=(600)

2

+2×600×9+(9)

2

=360000+10800+81=370881

(ii) (725)

2

=(700+25)

2

=(700)

2

+2×700×25+(25)

2

=490000+35000+625=525625

Answer 2

Explanation:

(p²- 2q²)² = ((p+2q)(p-2q))²

= (p+2q)² (p-2q)²

= (p²+2 p-2q+2q²)(p²-2 p-2q+2q²)

= 2p²+2(2q)²