Given that p=x^2-y^2/x^2+xy I. Express p in the simplest form
ii. Find the value of p if x=-4 and y=-6

p = -

Step-by-step explanation:

Given

p = ( factorise numerator and denominator )

x² - y² ← is a difference of squares and factors as (x - y)(x + y)

x² + xy ← factor out x from each term

= x(x + y) , thus

p = ← cancel (x + y) on numerator/ denominator

   = ← substitute x = - 4, y = - 6

   =

   =

    = = -

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