\( 1 + 2 + 4 + \ldots . + 2 ^ { n - 1 } = 2 ^ { n } - 1 \)

7) \( \quad 4 x^{2}-12 x+9=0 \) 8) \( (x-2)(x+3)=6 \)

Solve for \( x \) by completing the square: \[ x^{2}=-3 x+10 \] Determine the value of \( p \) if \( f(x)=x^{2}+p x^{2}-x+3 \) gives a remainder of 15 when divided by \( x-2 \).

\( f(x)=a x^{2}+(b+2) x-a+b \) fonksiyonu sabit fonksiyon olduğuna göre , \( \mathrm{f}(\mathrm{a}) \cdot \mathrm{f}(\mathrm{b}) \) değeri kaçtır ?

12. Simplify \( \sqrt{a^{8} b^{6}} \sqrt{25 a^{4}} \sqrt{81 b^{2}} \)

b) \( 15 x-(4 x-7)=95 \)