Perform Operations with Polynomials in Several Variables
-$$\left( x ^ { 2 } y ^ { 2 } + 9 \right) ^ { 2 }$$
A) $x ^ { 4 } y ^ { 4 } + 18 x ^ { 2 } y ^ { 2 } + 81$
B) $x ^ { 2 } y ^ { 2 } + 18 x y + 81$
C) $x ^ { 4 } y ^ { 4 } + 9 x ^ { 2 } y ^ { 2 } + 81$
D) $x ^ { 4 } y ^ { 4 } + 81$

Question

Quizplus · Accepted Answer

To square the given polynomial $(x^2y^2 + 9)^2$, we apply the formula $(a+b)^2 = a^2 + 2ab + b^2$, where $a = x^2y^2$ and $b = 9$. Squaring each term and multiplying gives $x^4y^4 + 18x^2y^2 + 81$.

Perform Operations with Polynomials in Several Variables - (x2y2+9)2\left( x ^ { 2 } y ^ { 2 } + 9 \right) ^ { 2 }(x2y2+9)2

Perform Operations with Polynomials in Several Variables
- $\left( x ^ { 2 } y ^ { 2 } + 9 \right) ^ { 2 }$