Question

Evaluate

$8(x^3{y}^2{z}^2+x^2{y}^3{z}^2+x^2{y}^2{z}^3)÷4x^2{y}^2{z}^2$

• A. $2(x+y+z)$
• B. $2(x-y+z)$
• C. $2(x+y-z)$
• D. $2(x+2y+2z)$

Answer 1

The correct option is A $2(x+y+z)$

$8(x^3{y}^2{z}^2+x^2{y}^3{z}^2+x^2{y}^2{z}^3)÷4x^2{y}^2{z}^2$

$=\frac{8(x^3{y}^2{z}^2+z^2{y}^3{z}^2+x^2{y}^2{z}^3)}{4x^2{y}^2{z}^2}$

$=\frac{8\times x^2{y}^2{z}^2(x+y+z)}{4x^2{y}^2{z}^2}$

$=2(x+y+z)$