Math, asked by arjunk4720, 8 months ago

Simplify using Identities198×198-102×10296

Answers

Answered by Lovelyfriend
1

(i) (198 × 198 – 102 × 102)/96

Using formula (a – b) (a + b) = a2 – b2

We get,

(198 × 198 – 102 × 102)/96 

= ((198)2 – (102)2)/96

= ((198-102) (198+102))/96

= (96 × 300)/96

= 300

(ii) 1.73 × 1.73 – 0.27 × 0.27

Using formula

(a – b) (a + b) = a2 – b2 1.73 × 1.73 – 0.27 × 0.27  = (1.73)2 – (0.27)2 = (1.73-0.27) (1.73+0.27) = 1.46 × 2 = 2.92

Answered by Anonymous
45

\huge\textrm{Question :}

Correct Question:

(198 × 198 – 102 × 102)/96

\huge\textrm{Answer :}

(198 × 198 – 102 × 102)/96

Using formula (a – b) (a + b) = a2 – b2

We get,

(198 × 198 – 102 × 102)/96 =

(198)2 – (102)2)/96 = (198-102) (198+102))/96 =

(96 × 300)/96 = 300

Hence , the answer is 300 .

Similar questions