Find the value of $x$ in

$\frac{x+2}{9}=\frac{x+4}{11}$

Q.

Find the H.C.F of the following expressions:

(1) x³ − 7x² + 14x − 8 and x³ − 6x² + 11x − 6

(2) 4a² − 11a² + 25a + 7 and 2a³ − 5a² + 11a + 7

(3) x³ − 86x + 35 − 6x² and x³ + 40 − 5x² − 99x

(4) a³ − a² − 7a + 3; a³ − 5a² + 9a − 9 and a³ − 4a² + 4a − 3.

Q.

Simplify the expressions and find the value if x is equal to 2

(i) x + 7 + 4 (x − 5) (ii) 3 (x + 2) + 5x − 7

(iii) 6x + 5 (x − 2) (iv) 4 (2x −1) + 3x + 11

Q.

Find the sum of:

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

Q. In the given expression $\frac{3}{1^2{.2}^2}+\frac{5}{2^2{.3}^2}+\frac{7}{3^2{.4}^2}+\frac{9}{4^2{.5}^2}+\frac{11}{5^2{.6}^2}+\frac{13}{6^2{.7}^2}+\frac{15}{7^2{.8}^2}+\frac{17}{8^2{.9}^2}+\frac{19}{9^2{.10}^2}=\frac{99}{x}$. Find the value of $x$

Q. Write the following monomials according to their degrees the ascending order
(a) $\frac{1}{5}{x}^{11},-5x^7,4,5x^{10},2x^3,x,9x^5,3x^2$
(b) $6x^{15},4x^2,9,x,5x^6,7x^9,3x^3$