Given that P=(x^2-y^2)/(x^2+xy)
1. Express p in it's simplest form
2. Find the value of p if x=-4 and y=-6
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Answer:
a ) x square - y square / x square + xy
(x + y ) ( x - y ) / x ( x + 1 ( because a square - b square = ( a + b ) ( a - b ) )
( x is common )
x - y /x
Therefore P = x - y /x
b ) x - y /x
b ) x - y /xPut the value of x = -4
b ) x - y /xPut the value of x = -4y = -6
b ) x - y /xPut the value of x = -4y = -6( -4 ) - ( - 6 )
b ) x - y /xPut the value of x = -4y = -6( -4 ) - ( - 6 )-4 + 6
b ) x - y /xPut the value of x = -4y = -6( -4 ) - ( - 6 )-4 + 62
b ) x - y /xPut the value of x = -4y = -6( -4 ) - ( - 6 )-4 + 62Therefore , the value of P is 2
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