which is equivalent to (9y² - 4x)(9y² + 4x), and what type of special product is it?\n81y⁴ - 16x², a perfect…
which is equivalent to (9y² - 4x)(9y² + 4x), and what type of special product is it?\n81y⁴ - 16x², a perfect square trinomial\n81y⁴ - 16x², the difference of squares\n81y⁴ - 72xy² - 16x², a perfect square trinomial\n81y⁴ - 72xy² - 16x², the difference of squares
Answer
Explanation:
Step1: Apply difference - of - squares formula
The difference - of - squares formula is $(a - b)(a + b)=a^{2}-b^{2}$. Here, $a = 9y^{2}$ and $b = 4x$. $(9y^{2}-4x)(9y^{2}+4x)=(9y^{2})^{2}-(4x)^{2}$
Step2: Simplify the expression
$(9y^{2})^{2}-(4x)^{2}=81y^{4}-16x^{2}$
Answer:
B. $81y^{4}-16x^{2}$, the difference of squares