Question

Find the product of $(x+y-z+p)$ and $xyzp$.

• A. $x^{2}yzp+x{y}^{2}zp-xy{z}^{2}p+xyz{p}^2$
• B. $x^{2}yzp+x{y}^{2}zp+xy{z}^{2}p+xyz{p}^2$
• C. $2xyzp-xy{z}^{2}p+xyz{p}^2$
• D. $2xyzp+xy{z}^{2}p+xyz{p}^2$

Answer 1

The correct option is A

$x^{2}yzp+x{y}^{2}zp-xy{z}^{2}p+xyz{p}^2$

$(x+y-z+p)\left(xyzp\right)$

= $\left(xyzp\right)\times x$$+$$\left(xyzp\right)\times y$$-$$\left(xyzp\right)\times z$$+$$\left(xyzp\right)\times p$

= $x^{2}yzp+x{y}^{2}zp-xy{z}^{2}p+xyz{p}^2$