Simplify each of the following:

(i) 175 × 175 + 2 × 175 × 25 + 25 × 25

(ii) 322 × 322 − 2 × 322 × 22 + 22 × 22

(iii) 0.76 × 0.76 + 2 × 0.76 × 0.24 + 0.24 × × 0.24

(iv) $\frac{7.83\times 7.83-1.17\times 1.17}{6.66}$

In the given problem, we have to simplify expressions

(i) Given

Put

Hence the equation becomes,

That is

Hence the value of is

(ii) We have been given

Put

Hence the equation becomes

That is

Hence the value of is

(iii) Given

Put

Hence the equation becomes

That is

Hence the value of is

(iv) We have been given

Put

Hence the equation becomes

Hence the value of is