Question

1. $16x^{2}-25y^{2}$

Explanation:

Step1: Recognize difference of squares

Identify that $16x^2=(4x)^2$ and $25y^2=(5y)^2$, so the expression is a difference of two squares, which follows the pattern $a^2 - b^2$.

Step2: Apply difference of squares formula

Use the identity $a^2 - b^2=(a-b)(a+b)$, where $a=4x$ and $b=5y$.
<Expression>$(4x)^2 - (5y)^2=(4x-5y)(4x+5y)$</Expression>

Answer:

$(4x-5y)(4x+5y)$