Question

$\text{Simplify the expression:}\frac{52wxyz(xy+yz+xz+y^2)(z+x)}{104xy(xyz+x{z}^2+y{z}^2+y^{2}z)}$

• A. $\frac{w(z-x)}{2}$
• B. $\frac{w(z+x)}{2}$
• C. $\frac{x(z+x)}{2}$
• D. $\frac{x(z-x)}{2}$

Answer 1

The correct option is B $\frac{w(z+x)}{2}$

$\text{Given expression:}\frac{52wxyz(xy+yz+xz+y^2)(z+x)}{104xy(xyz+x{z}^2+y{z}^2+y^{2}z)}$

$\text{Taking 'z' common from the}\text{denominator, we get}\frac{52wxyz(xy+yz+xz+y^2)(z+x)}{104xyz(xy+xz+yz+y^2)}$

$\text{On cancelling out the common terms}\text{from the above expression, we get}\frac{w(z+x)}{2}.$