Chapter 41, Problem 1A

To determine

Solve the expression.

Answer to Problem 1A

The expression is $4x^4-20x^2{y}^3+25y^6$.

Explanation of Solution

Given:

The term is ${\left(2x^2-5y^3\right)}^2$.

Calculation:

The algebraic expression is calculated as follows:

  $\begin{array}{c}={\left(2x^2-5y^3\right)}^2\\ =\left(2x^2-5y^3\right)\times \left(2x^2-5y^3\right)\\ =4x^4-10x^2{y}^3-10x^2{y}^3+25y^6\\ =4x^4-20x^2{y}^3+25y^6\end{array}$

Thus, the algebraic expression is $4x^4-20x^2{y}^3+25y^6$.

Conclusion:

The expression is $4x^4-20x^2{y}^3+25y^6$.