CBSE Class 8 Mathematics Factorisation Worksheet Set 01

Question. Express y² – 9y + 20 as product of two expressions.
Answer : (y – 4) (y – 5)

Question. Simplify [102 – 18 × 10 + 81]
Answer : 1

Question. Find the remainder in the following : (x⁴ – a⁴) (x² + a²).
Answer : 0

Question. Find two numbers A and B so that A + B = 12 and AB = 27.
Answer : A = 9, B = 3.

Question. (x + 1)² – (x – 1)² = _________.
Answer : 4x

Question. Find Quotient if
Dividend = x², Divisor = x – 3, Remainder = 9.
Answer : x + 3

Question. Factorise x² + 12x + 35
Answer : (x + 5) (x + 7)

Question. Factorize : x² + 4x – 21.
Answer : (x + 7) (x – 3)

Question. Complete it (a³ + b³) (a³ – b³) = _________ .
Answer : a6 – b6

Question. Factorize : 4x² – 12xy + 9y².
Answer : (2x – 3y)²

Question. The sum and product of two numbers is same and both equal to 4. Find the numbers
Answer : 2, 2

Question. Factorize : 3x² – 10x + 8.
Answer : (x – 2) (3x – 4)

Question. Find the value of 81x² + 36xy + 4y² if x = 1/9, y = -1/2
Answer : 0

Question. Find x if x (y - z) = (4y² - 4x²) / (x + 4)
Answer : 4

Question. Find two numbers m and n so that
m + n = 19
mn = 70
Answer : m = 14, n = 5.

Question. Find y if, (2x + 7) (2x – 7) + y = 4x²
Answer : y = 49

Question. Find two numbers so that their product is 56 and difference is 10.
Answer : 14, 4

Question. x² – x – 12 = (x – 4) × __________.
Answer : x + 3

Question. Factorize 6x³ – 4x².
Answer : 2x²(3x – 2)

Question. Divide 100 abc (3a – 12) (6b – 36) by 9(a – 4) (b – 6).
Answer : 200abc

Question. Give the two factors of x² + 6x + 5.
Answer : (x + 1) (x + 5)

Question. Factorize : 6xy – 2y + 3 – 9x.
Answer : (3x – 1) (2y – 3)

Please refer to the link below for CBSE Class 8 Mathematics Worksheet - Factorisation