Question

factorise 16x2 – (25 / y2 )

Answer 1

Answer:

The answer is $(4x-\dfrac{5}{y})(4x+\dfrac{5}{y})$

Step-by-step explanation:

Given expression is

                   $16x^2-\dfrac{25}{y^2}$

• Write in $a^2-b^2$ form

                 $=(4x)^2-(\dfrac{5}{y})^2$

• Use identity $a^2-b^2=(a-b)(a+b)$

                 $=(4x-\dfrac{5}{y})(4x+\dfrac{5}{y})$