Question

$(x{y}^2+2z)\times 2xy=$

• A. $=2x^2{y}^3+4xyz$
• B. $2x^3{y}^2+4xyz$
• C. $=2x^2{y}^3+2xyz$

Answer 1

The correct option is A $=2x^2{y}^3+4xyz$

Using distributive law of multiplication i.e.
$[a\times (b+c)=ab+bc]$
$(x{y}^2+2z)\times 2xy$ can be expressed as:
$=x{y}^2\times 2xy+2z\times 2xy$
Applying commutative law and adding exponents of respective unknowns,
$x{y}^2\times 2xy+2z\times 2xy$
$=2\times x^{(1+1)}\times y^{(2+1)}+(2\times 2)\times xyz$
$=2x^2{y}^3+4xyz$