Question

Using the formula for squaring a binominal evaluate the following:
(i) $(54{)}^2$
(ii) $(82{)}^2$
(iii) $(103{)}^2$
(iv) $(704{)}^2$

Answer 1

(i) $(54{)}^2=(50+4{)}^2=(50{)}^2+2\times 50\times 4+(4{)}^2=2500+400+16=2916$

(ii) $(82{)}^2=(80+2{)}^2=(80{)}^2+2\times 80\times 2+(2{)}^2=6400+320+4=6724$

(iii) $(103{)}^2=(100+3{)}^2=(100{)}^2+2\times 100\times 3+(3{)}^2=10000+600+9=10609$

(iv) $(704{)}^2=(700+4{)}^2=(700{)}^2+2\times 700\times 4+(4{)}^2=490000+5600+16=495616$