Q9 of 38 Page 10

andLet’s form a whole square of the expressions given below using the above identities-

i.


ii.


iii.


iv.


i.



Comparing with a2 + b2 – 2ab = (a – b)2,


Here a = 3x,




ii. 25m2 – 70mn + 49n2


= (5m)2 – 2(5n)(7n) + (7n)2


Comparing with a2 + b2 – 2ab = (a – b)2,


Here a = 5m, b = 7n


= (5m – 7n)2


iii. (2a – b)2 + (4a – 2b)(a + b) + (a + b)2


= (2a – b)2 + 2(2a – b)(a + b) + (a + b)2


Comparing with A2 + B2 – 2AB = (A – B)2,


Here A = 2a – b and B = a + b


= (2a – b + a + b)2


= a2


iv.




Comparing with a2 + b2 – 2ab = (a – b)2,


Here




More from this chapter

All 38 →
7

Let’s simplify:

i.


ii.



iii.


iv.


v.


vi.



8

andLet’s find out the square of the expressions given below using the above identities –

i.


ii.


iii.


iv.


10

Let’s express the following expressions as a difference of two squares:

i.


ii.


iii. x


 11

Let’s factorise :

i.


ii.


iii.


iv.


v.


vi.


vii.


viii.


ix.


x.


xi.


xii.


xiii.