Worksheet on Factorization



Practice the worksheet on factorization. The questions are based on factoring the expressions, factoring the difference of two squares, evaluating the expression using the formula a2 – b2 and factoring the quadratic trinomials.

1. Factorize each of the following expression.

(i) – 5x2 + 5xy – 52x

(ii) p2qr + pq2r + pqr2

(iii) – 4p5 – 16p3q – 20p2q2

(iv) p3qr + 4pq3 + 14p3

(v) – x2 + 3x + x – a - 2

(vi) a2m + b2m + c2m - a2n - b2n - c2n



2. Factorize using the formula of difference of two squares:

(i) 25x2 – 36x2y2

(ii) 49m2 – n4

(iii) 81a4 – b2

(iv) x3 – 25x

(v) 32a2b – 200b3

(vi) 4a2 + 12ab + 9b2 - 9



3. Find the values of:

(i) (64)2 – (36)2

(ii) (82/3)2 – (31/3)2

(iii) (42)2 – (28)2

(iv) (10003)2 – (9997)2

(v) (9.2)2 – (0.8)2



4. Factorization of trinomial:

(i) 10p2q2 – 11pq + 3

(ii) 12x2 + 11x – 5

(iii) 15a2b2 – 21ab + 6

(iv) 9x2 – y2 - 8y – 16

(v) x4 – 10x2 + 9


Answers for the worksheet on factorization are given below to check the exact answers of the above set of factorization.


Answers:


1. (i) x(- 5x + 5y – 52)                     

(ii) pqr(p + q + r)

(iii) - 4p2(p3 + 4pq + 5q2)

(iv) p(p2qr + 4q3 + 14p2)

(v) (a – 1) (a – x + 2)

(vi) (m – n) (a2 + b2 + c2)



2. (i) x2(5 + 6y) (5 – 6y)

(ii) (7m + n2) (7m - n2)

(iii) (9a2 + b) (9a2 - b)

(iv) x(x + 5) (x – 5)

(v) 2b(4a + 10b) (4a – 10b)

(vi) (2a + 3b + 3) (2a + 3b – 3)


3. (i) 2800

(ii) 64

(iii) 980

(iv) 120000

(v) 84


4. (i) (2pq – 1) (5pq – 3)

(ii) (3x – 1) (4x + 5)

(iii) 3(ab – 1) (5ab – 2)

(iv) (3x + y + 4) (3x – y – 4)

(v) (x + 1) (x – 1) (x + 3) (x – 3)






8th Grade Math Practice

Math Homework Sheets

From Worksheet on Factorization to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

RSS

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More