Q15 of 50 Page 9

Using the formula for squaring a binomial, evaluate the following:

(i) (102)2 (ii) (99)2


(i) (102)2


This can be written as:


(100 + 2)2


Apply the identity (a+b)2 = a2 + b2 + 2ab


= (100)2 + 2 (100) (2) + 22


= 10000 + 400 + 4


= 10404


(ii) (99)2


This can be written as:


(100 – 1)2


Apply the identity (a -b)2 = a2 + b2 - 2ab


= (100)2 – 2 (100) (1) + 12


= 10000 – 200 + 1


= 9801


More from this chapter

All 50 →
13

Write the following squares of binomials as trinomials:

(i) (x+2)2 (ii) (8x+3b)2


 14

Write the following squares of binomials as trinomials:



 16

Simplify the following using the formula: (a-b)(a+b)=a2 -b2

(i) (82)2 -(18)2


(ii) (467)2 -(33)2


 17

Simplify:

(i) 178 × 178 – 22 × 22


(ii)