200826

 Answers Key

1. (i) 5 (ii) 8 (iii) 0 (iv) 2

2. (i) 2 (ii) -1 (iii) √2 (iv) 0

3. (i) Quadratic (ii) Cubic (iii) Linear (iv) Linear

4. (i) 9 (ii) 27

5. (i) x=-½, (ii) ⅔

6. Yes

7. (i) (3x + 1) (2x + 5) (ii) (y – 2)(y – 3)
(iii) (x – 12) (x – 10) 

(iv) (3x – 1) (4x – 1)
(v) (x + 3) (2x + 1)
(vi) (2x + 3) (3x – 2)
(vii) (x + 1) (3x – 4) 

(viii) (x+6)(x+3)

(ix) (3x–1)(2x+3)

(x) (x–5)(2x+3)

(xi) 2(7+r)(6–r)

(xii) (√2x+5), (x+√2)

(xiii) (√3x-√2)(√3x-√2)

(xiv) (√2x-1), (√2x-1)

(xv) 1/8(4x-1) (4x-1)

8. (i) 10816

(ii) 9604

(iii) 9984

(iv) 11021
(v) 9120

(vi) 14161

(vii) 1124864

(viii) 997002999 

9. (i) x² + 6x + 9

(ii) 4x² - 4x + 1

(iii) (y²+9/4)(y²-9/4)

(iv) x² + 2x - 15

10. (i) 4x² + 4x + 1

(ii) 25p² - 10pq + q²

(iii) 27/8 x³ + 27/4 x² + 9/2 x + 1

(iv) 8a³ - 36a²b + 54ab² - 27b³

(v) x² + 4y² + 16z² + 4xy + 16xz + 16yz

(vi) 9a² + 49b² + c² - 42ab - 6ac + 14bc

11. (i) (3x + y)(3x + y)
(ii) (2y - 1)(2y - 1)
(iii) (x - y/10)(x + y/10)
(iv) (2x + 3y - 4z)(2x + 3y - 4z)|
(v) (2a + b)(2a + b)(2a + b)
(vi) (4a - 3b)(4a - 3b)(4a - 3b)
(vii) (3y + 5z)(9y² - 15yz + 25z²)

(viii) (4m - 7n)(16m² + 28mn + 49n²)

(ix) (3x + y + z)(9x² + y² + z² - 3xy - yz - 3xz)

(x) (2x + y + 3z)(4x² + y² + 9z² - 2xy - 3yz - 6xz)

(xi) (5a - 3)(5a - 4)

(xii) (5y + 4)(7y - 3)

(xiii) 3x(x - 4)

(xiv) 4k(3y + 5)(y - 1)

12. (i) -1260  (ii) 16380