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Important questions for Factorization Class 8 CBSE Maths Part 3



In this page we have Important questions for Factorization Class 8 CBSE Maths Part 3 . Hope you like them and do not forget to like , social share and comment at the end of the page.

Question 1

Factor the given expressions using identity:

(x+y)2= x2 +y2 +2xy

(x-y)2= x2 +y2 -2xy

x2 –y2 = (x-y) (x+y)

(i) p2 + 6p + 9

(ii) 4z2 – 4z + 1

(iii) 4p4 + 9p4 + 12p2q2

(iv) (a4 - 8a2b2 + 16b4) - 81

(v) 625 – x2 – 2xy – y2


Question 2

Divide as directed.

(i) 5(x + 1) (2x + 5) ÷ (2x + 5)

(ii) 39x(x + 5) (y - 2) ÷ 13x(y - 2)

(iii) 12pq (p + q) (q + r) (r + p) ÷ 6pq(q + r) (r + p)

(iv) 60(y - 4) (y2 + 5y + 3) ÷ 5(y - 4)

(v) x(x + 1) (x - 2) (x + 3) ÷ x(x - 2)



Question 3

 Factorize the expressions.

(i) px² + qx

(ii) 7x² + 21y²

(iii) 2x³ + 2xy² + 2xz²

 (iv) ap² + bq² + bq² + aq²

(v) nm + n2 + m + n

(vi) y (y - z) + 16 (y - z)

(vii) 5y² – 20y – 8z + 2yz

(viii) 10xy + 4x+ 5y + 2

(ix) 6xy – 4y + 6 – 9x


Question 4

 Factor completely using the formula:

(i) 576 – p2 + 8pq - 16q2 

(ii) 25x2 – (y + z)2

(iii) 4p2 – 4q – 3

(iv) 81 - x2 – y2 – 2xy 

(v) 121 - x2 – y2 – 2xy
 

Question 5

Factorize the expressions:

(i) 4a2 – 12ab + 9b2

(ii) 36p2 – 84pq + 49q2

(iii) 4a8 – b8

(iv) (z – 1)2 + 2 (z-1) (2z+3) + (2z +3)2

(v) p2 -9q2
 


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