Q17 of 50 Page 9

Simplify:

(i) 178 × 178 – 22 × 22


(ii)


(i)


(178)2 – (22)2


Using formula:


(a – b) (a + b) = a2 – b2, we get


= (178 + 22) (178 – 22)


= 200 × 156


= 31200


(iii)


Using formula:


(a – b) (a + b) = a2 – b2, we get




= 300


More from this chapter

All 50 →
15

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

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


 16

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

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


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


 18

Find the value of x, if:

(i) 4x=(52)2 -(48)2


(ii) 14x=(47)2 -(33)2


 19

If =20, find the value of .