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Let

Putting

Where t=x²

t²=A(t+9)(t+16)+B(t+1)(t+16)+C(t+1)(t+9)

Now put t+1=0

t=-1

A(8)(15)+B(0)+C(0)=1

Now put t+9=0

t=-9

A(-9+9)(-9+16)+B(-9+1)(-9+16)+C(-9+1)(-9+9)=(-9)²

A(0)+B(-56)+C(0)=81

Now put t+16=0

t=-16

A(0)+B(0)+C(-15)(-7)=(-16)²

A(0)+B(0)+C(105)=256

From equation(1)