Question 541131
a) x^2-y^2+3x+y+2

Rewrite the equation
x^2+3x-y^2+y +2

complete the squares by splitting 2
9/4 -1/4 = 8/4 =2

(x^2+3x+9/4) -(y^2-y +1/4)

(x+3/2)^2- (y-1/2)^2

Difference of two squares

(x+3/2+y-1/2)(x+3/2-y+1/2)

(x+y+1)(x-y+2)
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b. It is a diophantine equation. to solve it there is a procedure. please look on net


c) x^2(y-z)+y^2(z-x)+z^2(x-y)

Using the direct formula for cyclic expressions
=-(x-y)(y-z)(z-x)

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