Question

Match the following with their answers.

• A. $y^2+x^2$
• B. $yz$
• C. $x-1$
• D. $x{y}^2+x^3$

Answer 1

The expression can be solved as

(i) $\frac{x^2{y}^4+x^4{y}^2}{x^2{y}^2}$ = $\frac{x^2{y}^2(y^2+x^2)}{x^2{y}^2}$ = $x^2+y^2$

(ii)$\frac{6xyz(x-2)}{3x(2x-4)}$ = $\frac{6xyz(x-2)}{6x(x-2)}$ = $yz$

(iii) $\frac{(x^2-1)(x+2)}{(x+1)(x+2)}$ = $\frac{(x+1)(x-1)(x+2)}{(x+1)(x+2)}$ = $x-1$

(iv) $\frac{x^3{y}^4+x^5{y}^2}{x^2{y}^2}$ = $\frac{x^2{y}^2(x{y}^2+x^3)}{x^2{y}^2}$ =$x{y}^2+x^3$