Question 1. [3+3+4](a) Find the expansion of the following: (x + y – 1)3(b) Factorise the following: x4 + 5x2 + 9.(c) Solve the following pairs of linear equations:+ +− = 3; + +− =.Question 2. [3+3+4](a) Multiply (9x2 + 25y2 + 15xy + 12x – 20y + 16) by (3x – 5y – 4), using a suitable identity.(b) Solve the following pairs of linear equations by cross-multiplication method:2bx + ay = 2ab ; bx – ay = 4ab.(c) Solve: 2x -= 9; 3x + = 2. Hence find the value of k if x = k y + 5.Question 3. [3+3+4](a) If a2 – 3a + 1 = 0, find a2 +.(b) Factorise the following: (x2 – 2x)2 – 23(x2 – 2x) + 120.(c) A two-digit number is such that the ten’s digit exceeds twice the unit’s digit by 2 and the numberobtained by inter-changing the digits is 5 more than three times the sum of the digits. Find the two digitnumber.Question 4. [3+3+4](a) If a + b + c = 2, ab + bc + ca = - 1 and abc = -2, find the value of a3 + b3 + c3.(b) Solve the following system of simultaneous linear equations by elimination method:9 – (x – 4) = y + 7; 2 (x + y) = 4 – 3y.(c) 3 men and 4 boys can do a piece of work in 14 days, while 4 men and 6 boys can do it in 10 days. Howlong would it take 1 boy to finish the work ?Question 5. [3+3+4](a) Solve the following system of simultaneous linear equations by substitution method:2x -= 3; 5x – 2y – 7 = 0.(b) Factorise the following: a3 – 3a2b + 3ab2 – 2b3.(c) A boat sails a distance of 44 km in 4 hours with the current. It takes 4 hours 48 minutes longer to coverthe same distance against the current. Find the speed of the boat in still water and the speed of the current.