\( f\left(x^{3}-1\right)=x^{2}-x+2 \) duğuna göre \( f(7) \) kaçtır?

Three quantities \( t, x \) and \( y \) are such that \( t \) varies directly as \( x \) and invisely as the square root of \( y \). Find the percentage decrease in \( t \) if \( x \) decreases by \( 44 \% \).

\( \left. \begin{array} { l } { x ^ { 2 } - y ^ { 2 } + y } \\ { = 3 x ^ { 2 } y - y ^ { 3 } + x y } \end{array} \right. \)

212 / बीजगणित (Algebra) 24. यदि \( 4,2 x-4, \ldots \ldots, 64,21 x+2 \) एउटा गुणोत्तर अनुक्रमको पदहरू भए, If \( 4,2 x-4, \ldots \ldots, 64,21 x+2 \) are the terms of geometric sequence (i) \( x \) को मान पत्ता लगाउनुहोस् । (Find the value of \( x \).) (ii) समान अनुपात पत्ता लगाउनुहोस् । (Find the common ratio.) (iii) चौथो पद पत्ता लगाउनुहोस् । (Find the value of fourth term.)

7. \( \frac{a^{2}+1}{3 a-6} \div\left(\frac{a^{3}+a}{6 a-12} * \frac{4 x+8}{x-3}\right. \)

a) \( (5 x-2 y)(x+y)-5 x^{2} \) b) \( 2 b(7-b)-(a+2 b)(3-b) ; \) c) \( 3(x-4)(x+2)+(3 x-1)(5-x) \) d) \( 4(2 c+1)(5 c-3)-3(c+2)(c+ \)