Question

Using the identity (a + b) (a - b) = (a2 – b2), evaluate the following:
(i) 88 × 112
(ii) 153 167
(iii) 10.8 x 9.2​

Answer 1

Answer:

Step-by-step explanation:

I.(100-12)(100+12)

10000-144

=9856

ii.(160-7)(160+7)

25600-49

=25551

iii.(10-0.8)(10+0.8)

100-0.64

=99.36

Answer 2

Answer:

i) 88x112

88=100-12

112=100+12

(100-12)(100+12)

(100)2-(12)2

10000-144

9856

ii) 153×167

153=160-7

167=160+7

(160-7)(160+7)

(160)2 - (7)2

25700-49

25551

iii)10.8×9.2

10.8=10+0.8

9.2=10-0.8

(10)2-(0.8)2

100+0.64

99.36