Question

I need help with this As I am new to this subject/branch of mathematics, please explain and clarify step-by-step on how to complete this practice

Answer 1

We want to find the equivalent expression to the expression;

`(3x-4y^2)(3x+4y^2)`

Using the difference of 2 squares formula, which is;

`(a-b)(a+b)=a^2-b^2`

We can do the same for the given expression, so we can write;

`(3x-4y^2)(3x+4y^2)=(3x)^2-(4y^2)^2`

This is equivalent to;

`(3x)^2-(4y^2)^2=9x^2-16y^4`

Thus, the final answer is ;

`9x^2-16y^4`