# NCERT Mathematics Class 9 Exemplar Ch 2 Polynomials Part 7

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Q.24. Factorise:

(i)

(ii)

(iii) (iv)

Answer: (i)

(ii)

(iii)

(iv)

Q.25. Using suitable identity, evaluate the following:

(i)

(ii)

(iii) 999^{2}

Answer: (i) , (ii) , (iii)

Q.26. Factorise the following:

(i)

(ii)

(iii)

Answer: (i) , (ii) , (iii)

Q.27. Factorise the following:

(i)

(ii)

Answer: (i) , (ii)

Q.28. Expand the following:

(i)

(ii)

(iii)

Answer: (i) (ii) (iii)

Q.29. Factorise the following:

(i)

(ii)

(iii)

Answer: (i),

(ii)

(iii)

Q.30. If and, find .

Answer: 29

Q.31. Expand the following: (i) (ii) (iii)

Answer: (i) (ii)

(iii)

Q.32. Factorise the following:

(i)

(ii)

Answer: (i)

(ii)

Q.33. Find the following products:

(i)

(ii)

Answer: (i)

(ii)

Q.34. Factorise: (i)

(ii)

Answer: (i)

(ii)

Q.35. Find the following product:

Answer:

Q.36. Factorise: (i)

(ii) .

Answer: .

(i)

(ii)

Q.37. Without actually calculating the cubes, fined the value of:

(i)

(ii)

Answer: (i)

(ii)

Q.38. Without finding the cubes, factorise

Answer:

Q.39. Find the value of (i) , when

(ii) , when

Answer: (i) 0 (ii) 0

Q.40. Give possible expressions for the length and breadth of the rectangle whose area is given by

Answer: One possible answer is: Length, Breadth